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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Proceedings, conferences, collections, etc. pertaining to computer science, Symbolic computation and algebraic computation, Software, source code, etc. for problems pertaining to algebraic geometry, Proceedings of conferences of miscellaneous specific interest
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Symmetric functions and generalizations, Quantifier elimination, model completeness, and related topics, Computational aspects of higher-dimensional varieties, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Francesco Amoroso, Values of polynomials with integer coefficients and distance to their common zeros, Acta Arith. 68 (1994), no. 2, 101 -- 112. Measures of irrationality and of transcendence, Effectivity, complexity and computational aspects of algebraic geometry, Complex singularities
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation DOI: 10.1007/BF01832992 Semialgebraic sets and related spaces, Analysis of algorithms and problem complexity, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Forms over real fields
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Software, source code, etc. for problems pertaining to commutative algebra, Software, source code, etc. for problems pertaining to algebraic geometry, Computational aspects and applications of commutative rings, Computational aspects in algebraic geometry, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Irena Peeva and Mike Stillman, Local equations for the toric Hilbert scheme, Adv. in Appl. Math. 25 (2000), no. 4, 307-321. Parametrization (Chow and Hilbert schemes), Effectivity, complexity and computational aspects of algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Sonia Pérez-Díaz and J. Rafael Sendra, Partial degree formulae for rational algebraic surfaces, ISSAC'05, ACM, New York, 2005, pp. 301 -- 308. Computational aspects of algebraic surfaces, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation J.~E. Baker, On the motion geometry of the Bennett linkage, In Proceedings of the 8th International Conference on Engineering Computer Graphics and Descriptive Geometry, Austin, 1998, 433-437. Kinematics of mechanisms and robots, Symbolic computation and algebraic computation, Algebraic geometry methods for problems in mechanics, Computational aspects of associative rings (general theory), Real algebraic sets
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Bochnak, J.; Coste, M.; Roy, M.-F., Géométrie algébrique Réelle, (1987), Springer-Verlag Berlin Real algebraic and real-analytic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Ordered rings, Ordered rings, algebras, modules, Non-Archimedean valued fields
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Geometric aspects of numerical algebraic geometry, Effectivity, complexity and computational aspects of algebraic geometry, Numerical aspects of computer graphics, image analysis, and computational geometry, Numerical algebraic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Geometric aspects of numerical algebraic geometry, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Numerical algebraic geometry, Computational aspects related to convexity, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Computational aspects of higher-dimensional varieties, Algebraic cycles, Families, moduli of curves (algebraic), Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Sturmfels, B, The Hurwitz form of a projective variety, J. Symb. Comput., 79, 186-196, (2017) Grassmannians, Schubert varieties, flag manifolds, Symbolic computation and algebraic computation, Projective techniques in algebraic geometry, Computational aspects of algebraic curves
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Parimala, R.; Sujatha, R.: Levels of non-real function fields of real rational surfaces. Amer. J. Math. 113, 757-761 (1991) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebraic and real-analytic geometry, Rational and ruled surfaces, \(K\)-theory of quadratic and Hermitian forms
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation D.M. Wang, An elimination method based on Seidenberg's theory and its application, in:Computational Algebraic Geometry, Progress in Mathematics 109 (Birkhäuser, Boston, 1993) pp. 301-328. Polynomials, factorization in commutative rings, Symbolic computation and algebraic computation, Computational aspects in algebraic geometry, Polynomials in general fields (irreducibility, etc.), Numerical computation of solutions to systems of equations, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Grégoire Lecerf, Computing the equidimensional decomposition of an algebraic closed set by means of lifting fibers, J. Complexity 19 (2003), no. 4, 564 -- 596. Symbolic computation and algebraic computation, Computational aspects in algebraic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Plane and space curves, Geometric aspects of numerical algebraic geometry, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Fibrations, degenerations in algebraic geometry, Effectivity, complexity and computational aspects of algebraic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Collections of abstracts of lectures, Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to field theory, Real algebraic and real-analytic geometry, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Noncommutative algebraic geometry, Free probability and free operator algebras, General convexity, Polynomial optimization, Algebraic methods, Computational aspects and applications of commutative rings, Computational aspects in algebraic geometry, Semidefinite programming
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Recio, T; Sendra, JR; Tabera, LF; Villarino, C, Generalizing circles over algebraic extensions, Math. Comp., 79, 1067-1089, (2010) Computational aspects of algebraic curves, Symbolic computation and algebraic computation, Rational and unirational varieties
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Heintz J., Matera, G., Waissbein A.: On the time-space complexity of geometric elimination procedures. Appl. Algebra Engrg. Comm. Comput. 11 (2001), 4, 239-296 Symbolic computation and algebraic computation, Analysis of algorithms and problem complexity, Computational aspects in algebraic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Jensen, Anders N.: Traversing symmetric polyhedral fans, (2010) Symbolic computation and algebraic computation, \(n\)-dimensional polytopes, Computational aspects related to convexity
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Planar arrangements of lines and pseudolines (aspects of discrete geometry), Effectivity, complexity and computational aspects of algebraic geometry, Erdős problems and related topics of discrete geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Busé, L; Chardin, M, Implicitizing rational hypersurfaces using approximation complexes, Journal of Symbolic Computation, 40, 1150-1168, (2005) Computational aspects of algebraic surfaces, Symbolic computation and algebraic computation, Syzygies, resolutions, complexes and commutative rings
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Software, source code, etc. for problems pertaining to algebraic geometry, Computational real algebraic geometry, Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Bank, Bernd; Giusti, Marc; Heintz, Joos, Point searching in real singular complete intersection varieties - algorithms of intrinsic complexity, Math. comp., 83, 286, 873-897, (2014) Symbolic computation and algebraic computation, Singularities in algebraic geometry, Real algebraic sets, Deformations of singularities, Parallel algorithms in computer science
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Decker, Wolfram; Schreyer, Frank-Olaf, Varieties, Gröbner Bases and Algebraic Curves, (2011) Surfaces of general type, Symbolic computation and algebraic computation, Adjunction problems
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation D'andrea, C.; Emiris, I. Z.: Computing sparse projection operators. Contemporary mathematics 286, 121-139 (2001) Computational aspects in algebraic geometry, Analysis of algorithms and problem complexity, Computational aspects and applications of commutative rings, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Strzeboński, A.: Solving polynomial systems over semialgebraic sets represented by cylindrical algebraic formulas. In: Proceedings ISSAC 2012, pp. 335--342. ACM (2012) Symbolic computation and algebraic computation, Semialgebraic sets and related spaces, Computational aspects in algebraic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Symbolic computation and algebraic computation, Real algebraic sets, Computational aspects of algebraic surfaces, Polynomials and rational functions of one complex variable
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Ahn, J, The degree-complexity of the defining ideal of a smooth integral curve, J. Symb. Comput., 43, 422-441, (2008) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational aspects in algebraic geometry, Analysis of algorithms and problem complexity, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Arnon, D. S.; Buchberger, B.: Algorithms in real algebraic geometry. (1988) Symbolic computation and algebraic computation, Real algebraic and real-analytic geometry, Proceedings, conferences, collections, etc. pertaining to computer science
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Lasserre J.-B., Putinar M.: Positivity and optimization for semi-algebraic functions. SIAM. J. Optim. 20, 3364--3383 (2010) Semialgebraic sets and related spaces, Semidefinite programming, Sums of squares and representations by other particular quadratic forms, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Hashemi, A.; Lazard, D., Sharper complexity bounds for zero-dimensional Gröbner bases and polynomial system solving, Internat. J. Algebra Comput., 21, 5, 703-713, (2011) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Effectivity, complexity and computational aspects of algebraic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Sommese, A.J.; Verschelde, J.; Wampler, C.W., Homotopies for intersecting solution components of polynomial systems, SIAM J. Numer. Anal., 42, 1552-1571, (2004) Polynomials, factorization in commutative rings, Computational aspects in algebraic geometry, Numerical computation of solutions to systems of equations, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Becher, Karim; Grimm, David; Van Geel, Jan: Sums of squares in algebraic function fields over a complete discretely valued field, Pacific J. Math. 267, No. 2, 257-276 (2014) Quadratic forms over general fields, Forms over real fields, Sums of squares and representations by other particular quadratic forms, Valued fields, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Transcendental field extensions, Algebraic functions and function fields in algebraic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Symbolic computation and algebraic computation, Computational real algebraic geometry, Learning and adaptive systems in artificial intelligence
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Classical real and complex (co)homology in algebraic geometry, Semialgebraic sets and related spaces, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Elkadi, M.; Mourrain, B.: Algorithms for residues and łojasiewicz exponents, J. pure appl. Algebra 153, 27-44 (2000) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Symbolic computation and algebraic computation, Polynomial rings and ideals; rings of integer-valued polynomials, Software, source code, etc. for problems pertaining to commutative algebra, Rational and birational maps
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Collections of articles of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to computer science, Symbolic computation and algebraic computation, Computational aspects in algebraic geometry, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Hypersurfaces and algebraic geometry, Semialgebraic sets and related spaces, Fibrations, degenerations in algebraic geometry, Effectivity, complexity and computational aspects of algebraic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Symbolic computation and algebraic computation, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational aspects of higher-dimensional varieties
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Beltrán C and Shub M 2013 The complexity and geometry of numerically solving polynomial systems Recent Advances in Real Complexity and Computation(Contemporary Mathematics vol 604) ed J L Montaña and L Pardo (Providence, RI: American Mathematical Society) pp 71--104 Research exposition (monographs, survey articles) pertaining to numerical analysis, Numerical computation of solutions to systems of equations, Effectivity, complexity and computational aspects of algebraic geometry, Complexity and performance of numerical algorithms, Analysis of algorithms and problem complexity
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational aspects of algebraic surfaces, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation L. Bröcker, Families of semialgebraic sets and limits, In: ``Real Algebraic Geometry'' (Rennes 1991), M. Coste - L. Mahé - M.-F. Roy (eds.), Lecture Notes in Math., 1524, Springer-Verlag, Berlin, 1992, pp. 145-162. Zbl0849.14022 MR1226248 Semialgebraic sets and related spaces, Real algebraic sets, Ordered fields
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Vanishing theorems in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Effectivity, complexity and computational aspects of algebraic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation DOI: 10.1016/j.jsc.2006.08.005 Computational aspects in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Software, source code, etc. for problems pertaining to algebraic geometry, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Bertrand, L.: Computing a hyperelliptic integral using arithmetic in the Jacobian of the curve. Appl. algebra engrg. Comm. comput. 6, No. 4--5, 275-298 (1995) Differential algebra, Symbolic computation and algebraic computation, Algebraic functions and function fields in algebraic geometry, Computational aspects of algebraic curves, Jacobians, Prym varieties
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Becker, Sums of powers in rings and the real holomorphy ring, J. Reine Angew. Math. 480 pp 71-- (1996) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Algebraic theory of quadratic forms; Witt groups and rings, Real algebraic and real-analytic geometry, Dedekind, Prüfer, Krull and Mori rings and their generalizations
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Huang, Y. J.; Petit, C.; Shinohara, N.; Takagi, T., Improvement of faugère et al.'s, method to solve ECDLP, (International Workshop on Security, (2013), Springer Berlin-Heidelberg), 115-132 Cryptography, Applications to coding theory and cryptography of arithmetic geometry, Algebraic coding theory; cryptography (number-theoretic aspects), Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation J. M. Aroca, J. Cano, R. Feng, and X. S. Gao, Algebraic general solutions of algebraic ordinary differential equations, ISSAC'05, ACM, New York, 2005, pp. 29 -- 36. Symbolic computation and algebraic computation, Computational aspects of algebraic curves, Explicit solutions, first integrals of ordinary differential equations, Implicit ordinary differential equations, differential-algebraic equations
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation A. Galligo and N. Vorobjov, ''Complexity of Finding Irreducible Components of a Semialgebraic Set,'' J. Complexity, vol. 11, iss. 1, pp. 174-193, 1995. Computational aspects in algebraic geometry, Semialgebraic sets and related spaces, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Bürgisser, P.; Scheiblechner, P.: Differential forms in computational algebraic geometry, , 61-68 (2007) Computational aspects of higher-dimensional varieties, Modules of differentials, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Wang, D., \textit{Elimination Practice: Software Tools and Applications}, (2004), Imperial College Press, London, UK Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational aspects in algebraic geometry, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Herrero, M., Jeronimo, G., Sabia, J.: Puiseux expansions and non-isolated points in algebraic varieties. Commun. Algebra 44(5), 2100--2109 (2016) Computational aspects of algebraic curves, Effectivity, complexity and computational aspects of algebraic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Complexity classes (hierarchies, relations among complexity classes, etc.), Effectivity, complexity and computational aspects of algebraic geometry, Analysis of algorithms and problem complexity
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to computer science, Proceedings, conferences, collections, etc. pertaining to numerical analysis, Computational number theory, Computational aspects and applications of commutative rings, Computational aspects in algebraic geometry, Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational aspects in algebraic geometry, Symbolic computation and algebraic computation, Calculation of integer sequences, Theory of modules and ideals in commutative rings
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Delzell, C.N.; González-Vega, L.; Lombardi, H., A continuous and rational solution to hilbert's 17th problem and several cases of the positivstellensatz, (), 61-75 Relevant commutative algebra, Polynomial rings and ideals; rings of integer-valued polynomials, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation M. Saito, B. Sturmfels, N. Takayama, Gröbner Deformations of Regular Holonomic Systems, Algorithms and Computation in Mathematics, Vol. 6, Springer, Berlin, 1999. Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Commutative rings of differential operators and their modules, Symbolic computation and algebraic computation, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Rings of differential operators (associative algebraic aspects)
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Schmies, M.: Computing Poincaré Theta series for Schottky groups. In Bobenko, A.I., Klein, Ch. (eds.): Computational Approach to Riemann Surfaces, Lecture Notes in Mathematics, pp. 165-182. Berlin, Springer (2011) Software, source code, etc. for problems pertaining to algebraic geometry, Symbolic computation and algebraic computation, Computational aspects of algebraic curves, Theta functions and curves; Schottky problem, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Daleo, N.S.; Hauenstein, J.D.; Oeding, L., Computations and equations for Segre-Grassmann hypersurfaces, Port. math., 73, 1, 71-90, (2016) Grassmannians, Schubert varieties, flag manifolds, Multilinear algebra, tensor calculus, Effectivity, complexity and computational aspects of algebraic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Zhang, S. J., Complexity and phase transitions in a holographic QCD model, Nucl. Phys. B, 929, 243, (2018) Strong interaction, including quantum chromodynamics, Quantum field theory on curved space or space-time backgrounds, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Phase transitions (general) in equilibrium statistical mechanics, Critical phenomena in equilibrium statistical mechanics, Effectivity, complexity and computational aspects of algebraic geometry
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Computational aspects of higher-dimensional varieties, Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Zhou, X. Y., Zhu, L. F.: An optimal \(L\)\^{}\{2\} extension theorem on weakly pseudoconvex Kähler manifolds. To appear in J. Differential Geom. Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects), Effectivity, complexity and computational aspects of algebraic geometry
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Applications to coding theory and cryptography of arithmetic geometry, Elliptic curves, Effectivity, complexity and computational aspects of algebraic geometry
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Descriptive complexity and finite models, Effectivity, complexity and computational aspects of algebraic geometry
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Chen, C., Moreno-Maza, M., Xia, B., Yang, L.: Computing cylindrical algebraic decomposition via triangular decomposition. In: ISSAC '09: Proceedings of the 2009 international symposium on Symbolic and algebraic computation, pp. 95--102. ACM, New York (2009) Semialgebraic sets and related spaces, Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Symbolic computation and algebraic computation, Group actions on varieties or schemes (quotients), Actions of groups on commutative rings; invariant theory
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation D.J. Bates, J.D. Hauenstein, C. Peterson, and A.J. Sommese, \textit{A numerical local dimension test for points on the solution set of a system of polynomial equations}, SIAM J. Numer. Anal., 47 (2009), pp. 3608--3623, . Computational aspects in algebraic geometry, Numerical computation of solutions to systems of equations, Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Hoffmann, D. W., \textit{motivic equivalence and similarity of quadratic forms}, Doc. Math., Extra Volume, 265-275, (2015) Quadratic forms over general fields, Algebraic theory of quadratic forms; Witt groups and rings, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), (Equivariant) Chow groups and rings; motives
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Computational aspects of higher-dimensional varieties, Singularities in algebraic geometry, Local complex singularities, Numerical computation of solutions to systems of equations, Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Hernández, X.; Miret, J.; Xambó, S.: Computing the characteristic numbers of the variety of nodal cubics in P3, J. symbolic comput. 42, No. 1--2, 192-202 (2007) Computational aspects of algebraic curves, Classical problems, Schubert calculus, Families, moduli of curves (algebraic), Computational aspects related to convexity, Symbolic computation and algebraic computation, Singularities of curves, local rings, Plane and space curves
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to computer science, Proceedings, conferences, collections, etc. pertaining to number theory, Proceedings, conferences, collections, etc. pertaining to field theory, Proceedings, conferences, collections, etc. pertaining to commutative algebra, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to numerical analysis, Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Quantifier elimination, model completeness, and related topics, Real-analytic and semi-analytic sets, Real-analytic functions, Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Software, source code, etc. for problems pertaining to algebraic geometry, Computational aspects of higher-dimensional varieties, Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Ngô, L. X C.; Winkler, F., Rational general solutions of parametrizable AODEs, Publ. Math. Debrecen, 79, 573-587, (2011) Explicit solutions, first integrals of ordinary differential equations, Geometric methods in ordinary differential equations, Rational and birational maps, Plane and space curves, Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Cimprič, J.: A Nullstellensatz for Linear Partial Differential Equations with Polynomial Coefficients. arXiv:1608.04000 (to appear) Symbolic computation and algebraic computation, Linear spaces and algebras of operators, General systems theory, Linear inequalities of matrices, Real algebraic and real-analytic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation [HJ3] D. Haran and M. Jarden,The absolute Galois group of a pseudo real closed algebraic field, Pacific J. Math.123 (1986), 55--69. Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Separable extensions, Galois theory, Rational points, Limits, profinite groups
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Landsberg, J. M.: An introduction to geometric complexity theory. Eur. math. Soc. newsl. 99 (2016) Complexity classes (hierarchies, relations among complexity classes, etc.), Effectivity, complexity and computational aspects of algebraic geometry, General geometric structures on low-dimensional manifolds
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Effectivity, complexity and computational aspects of algebraic geometry, Tropical geometry, Analysis of algorithms and problem complexity
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Jürgens, U.; Röhrle, G.: MOP - algorithmic modality analysis for parabolic group actions. Experimental math. 11, No. no. 1, 57-67 (2002) Linear algebraic groups over arbitrary fields, Lie algebras of linear algebraic groups, Representation theory for linear algebraic groups, Group actions on varieties or schemes (quotients), Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation M. Kreuzer and H. Poulisse, ''Subideal border bases,'' Preprint (2009). Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational aspects in algebraic geometry, Symbolic computation and algebraic computation, Approximation by polynomials, Numerical interpolation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Software, source code, etc. for problems pertaining to algebraic geometry, Numerical algorithms for specific classes of architectures, Symbolic computation and algebraic computation, Parallel algorithms in computer science, Computational aspects in algebraic geometry
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Computational aspects in algebraic geometry, Multilinear algebra, tensor calculus, Secant varieties, tensor rank, varieties of sums of powers, Forms of degree higher than two, Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Gert-Martin Greuel and Gerhard Pfister, A Singular introduction to commutative algebra, Springer-Verlag, Berlin, 2002. With contributions by Olaf Bachmann, Christoph Lossen and Hans Schönemann; With 1 CD-ROM (Windows, Macintosh, and UNIX). Software, source code, etc. for problems pertaining to commutative algebra, Computational aspects and applications of commutative rings, Software, source code, etc. for problems pertaining to algebraic geometry, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational aspects in algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra, Research exposition (monographs, survey articles) pertaining to commutative algebra, Symbolic computation and algebraic computation, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to computer science, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation G. W. Brumfiel, Witt rings and \?-theory, Rocky Mountain J. Math. 14 (1984), no. 4, 733 -- 765. Ordered fields and real algebraic geometry (Boulder, Colo., 1983). Real algebraic and real-analytic geometry, General binary quadratic forms, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Syzygies, resolutions, complexes and commutative rings, Homological functors on modules of commutative rings (Tor, Ext, etc.), Local cohomology and commutative rings, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational homological algebra, Abelian categories, Grothendieck categories, Localization of categories, calculus of fractions, Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.), Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Complete intersections, Computational aspects of algebraic curves, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Symbolic computation and algebraic computation, Computational aspects in algebraic geometry
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Fortuna E., Gianni P., Trager B.: Ideals of curves given by points. In: Seppälä M., Volcheck E. (eds.) Computational Algebraic and Analytic Geometry, vol. 572, pp. 71-88. American Mathematical Society, Providence (2012). Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Plane and space curves, Effectivity, complexity and computational aspects of algebraic geometry
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Factorial statistical designs, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational aspects in algebraic geometry, Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Ko, H. P.: Geometry theorem proving by decomposition of quasi-algebraic sets: an application of the ritt-Wu principle. Artificial intelligence 37, 95-122 (1988) Symbolic computation and algebraic computation, Relevant commutative algebra, Polynomials over commutative rings
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Elementary questions in algebraic geometry, Other constructive mathematics, Algebraic field extensions
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Alcázar, JG; Schicho, J; Sendra, JR, A delineability-based method for computing critical sets of algebraic surfaces, J. Symb. Comput., 42, 678-691, (2007) Computational aspects of algebraic surfaces, Numerical computation of solutions to single equations, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Fernando, On open and closed morphisms between semialgebraic sets, Proc. Amer. Math. Soc. 140 (4) pp 1207-- (2012) Semialgebraic sets and related spaces, Real-valued functions in general topology, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Chain conditions, finiteness conditions in commutative ring theory
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation M. Hodorog, B. Mourrain, J. Schicho, GENOM3CK -- A library for genus computation of plane complex algebraic curves using knot theory, December 2010. in: ACM SIGSAM Communications in Computer Algebra, vol. 44, issue 174, ISSN:1932-2240, pp. 198--200. Symbolic computation and algebraic computation, Computational aspects of algebraic curves
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Ortega J. (1991). On the Pythagoras number of a real irreducible algebroid curve. Math. Ann. 289: 111--123 Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Formal power series rings, Riemann surfaces; Weierstrass points; gap sequences, Sums of squares and representations by other particular quadratic forms
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Cox D A, Little J, and O'Shea D, \textit{Using Algebraic Geometry}, 2nd Edition, Springer-Verlag, Berlin Heidelberg, 2005. Computational aspects and applications of commutative rings, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra, Effectivity, complexity and computational aspects of algebraic geometry, Research exposition (monographs, survey articles) pertaining to commutative algebra
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Sumi, T.; Miyazaki, M.; Sakata, T.: Typical ranks of m\(\times n\times \)(m - 1)n tensors with \(3\leq m\leq \)n over the real number field. Linear multilinear algebra 63, No. 5, 940-955 (2015) Multilinear algebra, tensor calculus, Semialgebraic sets and related spaces, Effectivity, complexity and computational aspects of algebraic geometry, Vector spaces, linear dependence, rank, lineability
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