text
stringlengths 68
2.01k
| label
int64 0
1
|
|---|---|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Khovanskiĭ, A. G., Fewnomials, Translations of Mathematical Monographs 88, viii+139 pp., (1991), American Mathematical Society, Providence, RI Polynomials in real and complex fields: location of zeros (algebraic theorems), Research exposition (monographs, survey articles) pertaining to field theory, Semi-analytic sets, subanalytic sets, and generalizations, Real algebraic sets, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Real-analytic and semi-analytic sets, Pfaffian systems, Varieties and morphisms, Real-valued functions on manifolds
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Polynomials and rational functions of one complex variable, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Lentzos, K.; Pasley, L.; Determinantal representations of invariant hyperbolic plane curves; arXiv: 2017; . Plane and space curves, Real algebraic sets, Norms of matrices, numerical range, applications of functional analysis to matrix theory
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Nash functions and manifolds, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real-analytic manifolds, real-analytic spaces
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Galindo, C; Sanchis, M, Evaluation codes and plane valuations, Des. Codes Crypt., 41, 199-219, (2006) Applications to coding theory and cryptography of arithmetic geometry, Valuations and their generalizations for commutative rings, Geometric methods (including applications of algebraic geometry) applied to coding theory, Bounds on codes, Singularities of curves, local rings
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) J. B. Lasserre, M. Laurent, and P. Rostalski, \textit{Semidefinite characterization and computation of zero-dimensional real radical ideals}, Found. Comput. Math., 8 (2008), pp. 607--647. Real algebraic sets, Real algebra, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Semidefinite programming, Numerical computation of solutions to systems of equations
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) E. Becker and J. Schmid, On the real Nullstellensatz, in Algorithmic Algebra and Number Theory (B. H. Matzat, G.-M. Greuel, G. Hiss, eds.), pp. 173--185, Springer, New York, 1997. Real algebra, Real algebraic sets, Relevant commutative algebra, Symbolic computation and algebraic computation, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) G. Mikhalkin, The complex separation of real surfaces and extensions of Rokhlin congruence, Invent. Math., 118 (1994), 197--222; math.AG/9206009 Real algebraic sets, Projective techniques in algebraic geometry
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Divisors, linear systems, invertible sheaves, Global theory and resolution of singularities (algebro-geometric aspects), Valuations and their generalizations for commutative rings
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Geometric probability and stochastic geometry, Real algebraic sets
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Relevant commutative algebra, Valuations and their generalizations for commutative rings
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Orevkov, S. Yu.; Kharlamov, V. M.: Growth order of the number of classes of real plane algebraic curves as the degree grows, Teor. predst. Din. sist. Komb. i algoritm. Metody. 5, 218-233 (2000) Real algebraic sets, Plane and space curves, Topology of real algebraic varieties, Enumerative problems (combinatorial problems) in algebraic geometry
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Zeng, G. X., Homogeneous Stellensätze in semialgebraic geometry,Pacific J. Math., 1989, 136(1): 103. Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebraic and real-analytic geometry, Relevant commutative algebra, Ordered fields, Forms over real fields
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Brauer groups of schemes, Real algebraic sets, Étale and other Grothendieck topologies and (co)homologies
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Valuations and their generalizations for commutative rings, Ramification problems in algebraic geometry
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Landsmann, G.; Schicho, J.; Winkler, F., The parametrization of canal surfaces and the decomposition of polynomials into a sum of two squares, J. Symbolic Comput., 32, 119-132, (2001) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Computational aspects of algebraic surfaces, Surfaces in Euclidean and related spaces
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Valuations and their generalizations for commutative rings, Valued fields, Valuation rings, Regular local rings, Singularities in algebraic geometry
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) J. G. Alcázar, G. M. Diaz-Toca and J. Caravantes, A new method to compute the singularities of offsets to rational plane curves (2015), arXiv:1502.04518. Computational aspects of algebraic curves, Real algebraic sets, Numerical aspects of computer graphics, image analysis, and computational geometry, Singularities of curves, local rings, Plane and space curves
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Valuations and their generalizations for commutative rings, Ramification problems in algebraic geometry, Relevant commutative algebra
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Classical problems, Schubert calculus, Real algebraic sets, Enumerative problems (combinatorial problems) in algebraic geometry, Random fields
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Singularities in algebraic geometry, Valuations and their generalizations for commutative rings, Group actions on affine varieties
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) M. A. Gushchin, A conic and an \?-quintic with a point at infinity, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 329 (2005), no. Geom. i Topol. 9, 14 -- 27, 195 (Russian, with English and Russian summaries); English transl., J. Math. Sci. (N.Y.) 140 (2007), no. 4, 502 -- 510. Topology of real algebraic varieties, Real algebraic sets
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Real-analytic manifolds, real-analytic spaces, Topology of analytic spaces, Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Semialgebraic sets and related spaces, Topology of real algebraic varieties, Poisson manifolds; Poisson groupoids and algebroids
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) V. A. Krasnov, ''On cohomology classes determined by real points of a real algebraic GM-surface,''Izv. Ross. Akad. Nauk Ser. Mat. [Russian Acad. Sci. Izv. Math.],57, No. 5, 210--221 (1993). Classical real and complex (co)homology in algebraic geometry, Real algebraic sets, Topological properties in algebraic geometry, Topology of real algebraic varieties, Real-analytic manifolds, real-analytic spaces
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) López de Medrano, S, Singularities of homogeneous quadratic mappings, RACSAM, 108, 95-112, (2014) Real algebraic sets, Critical points of functions and mappings on manifolds, Singularities of surfaces or higher-dimensional varieties
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) S. Basarab, A Nullstellensatz over ordered fields, Revue Roumaine Math., XXVIII (1983), No 7, 553--566. Relevant commutative algebra, Real algebraic and real-analytic geometry, Ordered fields, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) de Rham cohomology and algebraic geometry, Real algebraic sets, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Differential forms in global analysis, Real-analytic and Nash manifolds
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Matrices over function rings in one or more variables, Ordered rings, algebras, modules, Real algebraic sets, Noncommutative algebraic geometry
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Algebraic moduli problems, moduli of vector bundles, Valuations and their generalizations for commutative rings
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Kucharz, W., Complex cycles as obstructions on real algebraic varieties, Glasg. Math. J., 57, 343-347, (2015) Real algebraic sets, Topology of real algebraic varieties
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) E. Shustin, ''A Tropical Calculation of the Welschinger Invariants of Real Toric Del Pezzo Surfaces,'' J. Algebr. Geom. 15(2), 285--322 (2006). Enumerative problems (combinatorial problems) in algebraic geometry, Real algebraic sets, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Rational and ruled surfaces
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) \beginbarticle \bauthor\binitsS. \bsnmBarone and \bauthor\binitsS. \bsnmBasu, \batitleRefined bounds on the number of connected components of sign conditions on a variety, \bjtitleDiscrete Comput. Geom. \bvolume47 (\byear2012), no. \bissue3, page 577-\blpage597. \endbarticle \endbibitem Semialgebraic sets and related spaces, Real algebraic sets
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Frédéric Mangolte, Topologie des variétés algébriques réelles de dimension 3, Gaz. Math. 139 (2014), 5 -- 34 (French). Topology of real algebraic varieties, Real algebraic sets, Topological properties in algebraic geometry, \(3\)-folds
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Singularities of surfaces or higher-dimensional varieties, Singularities in algebraic geometry, Real algebraic sets, Real-analytic and semi-analytic sets, Real-analytic manifolds, real-analytic spaces, Local complex singularities, Complex surface and hypersurface singularities, Deformations of complex singularities; vanishing cycles
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic and real-analytic geometry, Ordered fields, Arithmetic ground fields for curves, Special algebraic curves and curves of low genus, Rational and unirational varieties, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Bochnak, J.; Kucharz, W., Algebraic approximation of smooth maps, Univ. Iagell. Acta Math., 48, 9-40, (2010) Real algebraic sets, Rational and birational maps, Rational and unirational varieties, Real-analytic manifolds, real-analytic spaces
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Symbolic computation and algebraic computation, Real algebraic sets, Computational aspects related to convexity, Semidefinite programming
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) ; Cutkosky, Local monomialization and factorization of morphisms. Astérisque, 260, (1999) Rational and birational maps, Morphisms of commutative rings, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to commutative algebra, Valuations and their generalizations for commutative rings
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Kleinian groups (aspects of compact Riemann surfaces and uniformization), Real algebraic sets, Klein surfaces
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Polynomial rings and ideals; rings of integer-valued polynomials, Valuations and their generalizations for commutative rings, Filtered associative rings; filtrational and graded techniques, Compactifications; symmetric and spherical varieties, Moment problems
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Semialgebraic sets and related spaces, Quantifier elimination, model completeness, and related topics, Effectivity, complexity and computational aspects of algebraic geometry, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Jacobians, Prym varieties, Real algebraic sets, Ramification problems in algebraic geometry
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) C. Bajaj, Some applications of constructive real algebraic geometry, inAlgebraic geometry and its applications, ed. C. Bajaj (Springer-Verlag, New York, 1994) 303--405. Real algebraic sets, Kinematics of mechanisms and robots
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Plane and space curves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Topological properties in algebraic geometry, Projective techniques in algebraic geometry
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Bingener, J. and Flenner, H.: On the Fibers of Analytic Mappings. In: Ancona, V. and Silva, A. (eds): ''Complex Analysis and Geometry'', pp. 45--101. Plenum Press, New York, 1993 Morphisms of commutative rings, Local rings and semilocal rings, Analytical algebras and rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Families, fibrations in algebraic geometry, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Analytic algebras and generalizations, preparation theorems
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Bank, B.; Giusti, M.; Heintz, J.; Lecerf, G.; Matera, G.; Solernó, P.: Degeneracy loci and polynomial equation solving, Found. comput. Math. (2013) Complete intersections, Determinantal varieties, Effectivity, complexity and computational aspects of algebraic geometry, Real algebraic sets, Symbolic computation and algebraic computation
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Applications of methods of algebraic \(K\)-theory in algebraic geometry, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) X. S. Gao and M. Li, Rational quadratic approximation to real algebraic curves, Comput. Aided Geom. Design, 2004, 21(8): 805--828. Computer-aided design (modeling of curves and surfaces), Real algebraic sets, Analytic and descriptive geometry, Computer graphics; computational geometry (digital and algorithmic aspects)
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Schweighofer, Markus, Iterated rings of bounded elements and generalizations of Schmüdgen's Positivstellensatz, J. Reine Angew. Math., 554, 19-45, (2003) Real algebra, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Semialgebraic sets and related spaces
| 1
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebraic and real-analytic geometry, Valued fields
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Germs of analytic sets, local parametrization, Group actions on varieties or schemes (quotients), Semi-analytic sets, subanalytic sets, and generalizations, Real-analytic manifolds, real-analytic spaces, Real algebraic and real-analytic geometry
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Families, moduli of curves (analytic), Singularities of curves, local rings, Real algebraic sets, Toric varieties, Newton polyhedra, Okounkov bodies
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Gamboa, On prime ideals in rings of semialgebraic functions, Proc. Amer. Math. Soc. 118 (4) pp 1034-- (1993) Semialgebraic sets and related spaces, Ideals and multiplicative ideal theory in commutative rings, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Plaumann, D.; Scheiderer, C., The ring of bounded polynomials on a semi-algebraic set, Trans. Am. Math. Soc., 364, 4663-4682, (2012) Real algebraic and real-analytic geometry, Divisors, linear systems, invertible sheaves, Global theory and resolution of singularities (algebro-geometric aspects), Real algebraic sets
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Convex sets in \(2\) dimensions (including convex curves), Plane and space curves, Curves in Euclidean and related spaces, Real algebraic sets
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Blekherman, G; Gouveia, J; Pfeiffer, J, Sums of squares on the hypercube, Math. Z., 284, 41-54, (2016) Real algebraic sets, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Effectivity, complexity and computational aspects of algebraic geometry, Representations of finite symmetric groups, Queues and service in operations research
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Enumerative problems (combinatorial problems) in algebraic geometry, Dessins d'enfants theory, Real algebraic sets, Coverings of curves, fundamental group, Exact enumeration problems, generating functions, Enumeration in graph theory
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebraic and real-analytic geometry, Categories in geometry and topology, Formal power series rings
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) González, P.D., Teissier, B.: Toric geometry and the Semple-Nash modification. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales, Serie A Matemáticas 108(1), 1-48 (2014) Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Valuations and their generalizations for commutative rings, Modifications; resolution of singularities (complex-analytic aspects)
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Plane and space curves, Families, moduli of curves (analytic), Real algebraic sets
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Multidimensional problems, Real algebraic sets, Approximation by polynomials
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Erdős problems and related topics of discrete geometry
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) A. L. Chistov, ''Strong version of the basic deciding algorithm for the existential theory of real fields,'' J. Math. Sci., 107, No. 5, 4265--4295 (2001). Computational aspects of higher-dimensional varieties, Real algebraic sets, Effectivity, complexity and computational aspects of algebraic geometry, Real and complex fields, Decidability and field theory, Analysis of algorithms and problem complexity
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Valuations and their generalizations for commutative rings, Dedekind, Prüfer, Krull and Mori rings and their generalizations, Extension theory of commutative rings, Relevant commutative algebra, Semialgebraic sets and related spaces
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Schwartz, N., Epimorphic extensions and Prüfer extensions of partially ordered rings, Manuscr. math., 102, 347-381, (2000) Ordered rings, Morphisms of commutative rings, Ordered rings, algebras, modules, Real algebraic sets
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Adam Coffman, CR singular immersions of complex projective spaces, Beiträge Algebra Geom. 43 (2002), no. 2, 451-477. Real submanifolds in complex manifolds, Real algebraic sets, Rational and birational maps, Embedding theorems for complex manifolds, Matrix pencils, Global theory of complex singularities; cohomological properties
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Boucksom, Sébastien, Corps D'Okounkov, Séminaire Bourbaki, 65, 1059, 1-38, (2012-2013) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Graded rings, Valuations and their generalizations for commutative rings, Divisors, linear systems, invertible sheaves, Commutative semigroups, Special polytopes (linear programming, centrally symmetric, etc.)
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) E. Brugallé and N. Puignau, Behavior of Welschinger invariants under Morse simplifications, Rend. Sem. Mat. Univ. 130 (2013), 147--153. Enumerative problems (combinatorial problems) in algebraic geometry, Real algebraic sets, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Topology of real algebraic varieties
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Perfectoid spaces and mixed characteristic, Valuations and their generalizations for commutative rings, Ramification and extension theory, Integral closure of commutative rings and ideals, Étale and flat extensions; Henselization; Artin approximation, Witt vectors and related rings, Complete rings, completion
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Sums of squares and representations by other particular quadratic forms
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) DOI: 10.1216/RMJ-1989-19-3-973 Valuations and their generalizations for commutative rings, Ordered rings, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) 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
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) B. R. McDonald and William C. Waterhouse, Projective modules over rings with many units, Proc. Amer. Math. Soc. 83 (1981), no. 3, 455-458.
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) M. Marshall and L. Walter, Signatures of higher level on rings with many units, Math. Z. 204 (1990), no. 1, 129-143. Quadratic forms over general fields, General binary quadratic forms, Local rings and semilocal rings
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Bröcker, Ludwig, Zur Theorie der quadratischen Formen über formal reellen Körpern, Math. Ann., 210, 233-256, (1974)
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) M. A. Marshall, The Witt ring of a space oforderings. Trans. Amer. Math. Soc. 258 (1980), 505--521
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) M. Knebusch, On the local theory of signatures and reduced quadratic forms. Abh. math. Sem. Univ. Hamburg51, 149--195 (1981).
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Gräter, J.: Integral closure and valuation rings with zero divisors. Studia sci. Math. hungar., 457-458 (1982)
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Schülting, H. W.: Real holomorphy rings in real algebraic geometry, Lect. notes math. 959, 433-442 (1982)
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Manis M.,Valuations on a commutative ring, Proc. Amer. Math. Soc.,20 (1969), 193--198.
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Griffin, M.: Valuations and Prüfer rings. Canad. J. Math. 26, 412-429 (1974)
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) R. Brown and M. Marshall, ''The reduced theory of quadratic forms,'' Rocky Mount. J. Math.,11, No. 2, 161--175 (1981).
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) T. Y. Lam, An introduction to real algebra, in \textit{Ordered Fields and real Algebraic Geometry (Boulder, Colo., 1983)}, Rocky Mountain J. Math., 14 (1984), 767-814. Real algebraic and real-analytic geometry, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Becker, E.; Bröcker, L.: On the description of the reduced Witt ring. J. algebra 52, 328-346 (1978)
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) K. G. Valente, The \?-primes of a commutative ring, Pacific J. Math. 126 (1987), no. 2, 385 -- 400. Ideals and multiplicative ideal theory in commutative rings, Valuations and their generalizations for commutative rings, Complete rings, completion
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) M. A. Marshall, Spaces of orderings: systems of quadratic forms, local structure, and saturation. Communications in Algebra 12 (1984), 723--743 Forms over real fields, Ordered fields
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Kadison, R.V.: A representation theory for commutative topological algebra. Mem. Am. Math. Soc. \textbf{1951}(7), 39 (1951) Research exposition (monographs, survey articles) pertaining to functional analysis
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Dubois D.W., Pac. J. Math 24 pp 57-- (1968) Ordered rings, algebras, modules, Topological and ordered rings and modules
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) M. A. Marshall, Spaces oforderings IV. Canad. J. Math. 32(1980), 603--627
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Dubois, D.W., A note on david harrison's theory of preprimes, Pac. J. Math., 21, 15-19, (1967)
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) T. Y. Lam, Orderings, \textit{Valuations and Quadratic Forms}, CBMS Regional Conference Series in Mathematics, Vol. 52, American Mathematical Society, Providence, RI, 1983.
| 0
|
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) H. W. Schülting, Über reelle Stellen eines Körpers und ihren Holomorphiering, Dissertation, Universität Dortmund (1979).
| 0
|
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces E. Kani, Bounds on the number of non-rational subfields of a function field, Invent. Math. 85 (1986), 185-198. Zbl0615.12017 MR842053 Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Birational geometry, Jacobians, Prym varieties, Divisors, linear systems, invertible sheaves, Special surfaces
| 0
|
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces External book reviews, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Rational points, Global ground fields in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies, Brauer groups of schemes, Varieties over global fields, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Relevant commutative algebra, Varieties and morphisms, Rational and birational maps, Divisors, linear systems, invertible sheaves, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Classical real and complex (co)homology in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Special surfaces
| 0
|
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Rational points, Arithmetic ground fields for curves, Jacobians, Prym varieties
| 0
|
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces A. Arnth-Jensen , E.V. Flynn , Supplement to: Non-trivial \(\Sha\) in the Jacobian of an infinite family of curves of genus 2 . Available at: http://people.maths.ox.ac.uk/flynn/genus2/af/artlong.pdf [2] N. Bruin , E.V. Flynn , Exhibiting Sha[2] on Hyperelliptic Jacobians . J. Number Theory 118 ( 2006 ), 266 - 291 . MR 2225283 | Zbl 1118.14035 Jacobians, Prym varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Rational points
| 0
|
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces D. G. Cantor, \textit{Computing in the Jacobian of a hyperelliptic curve}, Math. Comp., 48 (1987), pp. 95--101, . Jacobians, Prym varieties, Software, source code, etc. for problems pertaining to algebraic geometry, Software, source code, etc. for problems pertaining to field theory, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Special algebraic curves and curves of low genus
| 0
|
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Rational points, Holomorphic modular forms of integral weight, Jacobians, Prym varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Special algebraic curves and curves of low genus, Elliptic curves, Arithmetic ground fields for abelian varieties
| 0
|
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Complete intersections, Special surfaces
| 0
|
Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Hindes, Wade, Prime divisors in polynomial orbits over function fields, Bull. Lond. Math. Soc., 48, 6, 1029-1036, (2016) Algebraic functions and function fields in algebraic geometry, Galois theory, Rational points, Arithmetic ground fields for curves, Arithmetic dynamics on general algebraic varieties
| 0
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.