text stringlengths 2 1.42k | label int64 0 1 |
|---|---|
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Jacobian conjecture; content of polynomial; flat polynomial endomorphism | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) arithmetic intersection theory; Deligne-Mumford stacks H. Gillet, ''Arithmetic intersection theory on Deligne-Mumford stacks,'' in Motives and Algebraic Cycles, Providence, RI: Amer. Math. Soc., 2009, vol. 56, pp. 93-109. | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Penrose twistor theory; Hopf bundle; homogeneous bundle; duality; Penrose transform; twistor transform | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) moduli space; principally polarized abelian variety; crystalline cohomology; canonical lifting; Jacobian of an ordinary curve Dwork, B.; Ogus, A., \textit{canonical liftings of Jacobians}, Compositio Math., 58, 111-131, (1986) | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) symplectic volume; moduli space Bennett, J., Cochran, D., Safnuk, B., Woskoff, K.: Topological recursion for symplectic volumes of moduli spaces of curves. Mich. Math. J. \textbf{61}(2), 331-358 (2012). arXiv:1010.1747 | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) modular equation; complex multiplication | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) real polynomial solving; intrinsic complexity; singularities; polar and bipolar varieties; degree of varieties B. Bank, M. Giusti, J. Heintz, L. Lehmann, and L. M. Pardo, \textit{Algorithms of intrinsic complexity for point searching in compact real singular hypersurfaces}, Found. Comput. Math. \textbf{12} (2012), no. 1, 75-122. | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) decomposition attack; hyperelliptic curve; discrete logarithm problem; Weil descent attack Nagao, K-i; Hanrot, G. (ed.); Morain, F. (ed.); Thomé, E. (ed.), Decomposition attack for the Jacobian of a hyperelliptic curve over an extension field, 285-300, (2010), Heidelberg | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Conics; Coordinate Systems | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Amram, M; Teicher, M, Fundamental groups of some special quadric arrangements, Rev. Mat. Comput., 19, 259-276, (2006) | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Pollard rho method; elliptic curve discrete logarithm; point halving; random walk Zhang F., Wang P.: Speeding up elliptic curve discrete logarithm computations with point halving. Des. Codes Cryptogr. \textbf{67}(2), 197-208 (2013) | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) projection | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) character sheaves; intersection cohomology; Fourier-Deligne transform Lusztig, G., Character sheaves and generalizations, (Etingof, P.; Retakh, V.; Singer, I., The Unity of Mathematics: In Honor of the Ninetieth Birthday of IM Gelfand, (2006), Birkhäuser), 443-455 | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) philosophy of mathematics; history of mathematics (20th century); category theory; homological algebra; algebraic topology; algebraic geometry; foundations of mathematics Krömer, R. (2007). \textit{Tool and object: A history and philosophy of category theory}. Basel: Birkhäuser. | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) AdS-CFT correspondence; Bethe ansatz Beccaria, M.; Levkovich-Maslyuk, F.; Macorini, G., On wrapping corrections to GKP-like operators, JHEP, 03, 001, (2011) | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) fibration; slope; relative irregularity; Clifford index; linear stability M. Á. Barja and L. Stoppino, Linear stability of projected canonical curves with applications to the slope of fibred surfaces, J. Math. Soc. Japan 60 (2008), no. 1, 171-192. | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) unitary cobordism; toric varieties; blow-ups; convex polytopes | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) plane sextics; torus type; fundamental groups; trigonal curve DOI: 10.2969/jmsj/06141131 | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) quantum dilogarithm; quantization; cluster varieties A.B. Goncharov, The pentagon relation for the quantum dilogarithm and quantized \( M_{0,5}\) | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) algebro-geometric codes; rational points; Serre bound Kawakita, MQ, Certain sextics with many rational points, Adv. Math. Commun., 11, 289-292, (2017) | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Deser, A., Lie algebroids, non-associative structures and non-geometric fluxes, Fortsch. Phys., 61, 1056, (2013) | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) holomorphic equivariant torsion; Riemann-Roch theorem; Arakelov geometry; equivariant Quillen metric; index theorem J.M. Bismut, S. Goette, Torsions analytiques eAquivariantes holomorphes, C. R. Acad. Sci. Paris 329 (I) (1999), 203-210. | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Galois representations; semi-stable pseudodeformation rings; Hodge-Tate weights | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Conic section; points | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Siegel modular variety; subvariety; general type S. Tsuyumine: Multi-tensors of differential forms on the Siegel modular variety and on its subvarieties (preprint, 1985). | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) analytic curves; tangent cones | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) generalization of class field theory; local fields; Milnor K-group; integral projective scheme; Chow group; generalization of ramification theory; higher dimensional schemes; generalized Swan conductor; global fields | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) rings of differential operators; semisimple Lie algebras; gluing of categories DOI: 10.1017/S1474748002000154 | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) elliptic curve; finite field; isogeny; distortion map; volcano | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) algebraic structures; equations; algebraic sets; radical ideal; coordinate algebra; Zariski topology; equationally Noetherian algebras; \(q_\omega\)-compactness; \(u_\omega\)-compactness; metacompact algebras; metacompact spaces; equationally Artinian algebras; prevarieties; varieties; free algebras; equational domains; Hilbert's basis theorem P. Modabberi and M. Shahryari, Compactness conditions in universal algebraic geometry, Algebra Logic 55 (2016), no. 2, 146-172. | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) complex prehomogeneous vector space; affine variety; regularity; reductivity; regular prehomogeneous vector space A. Gyoja: A counterexample in the theory of prehomogeneous vector spaces. Proc. Japan Acad., 66A, 26-27 (1990). | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) liftable derivation; moduli algebras; isolated hypersurface singularity Chen Hao. A remark on liftable derivation of moduli algebras of isolated hypersurface singularities. to appear in Proc. AMS | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) modular Galois representations; automorphic forms; modular curve; Hecke operators; Frobenius; geometric Frobenius; arithmetic Frobenius; Eisenstein series; Eisenstein ideals; Hecke algebra; crystalline extensions; multiplicity one theorem 10. Faltings, Gerd and Jordan, Bruce W. Crystalline cohomology and GL(2,<b>Q</b>)\textit{Israel J. Math.}90 (1995) 1--66 Math Reviews MR1336315 | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) phase transition; tunneling; scalar field theory | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) diffeomorphism; complex surface diffeomorphic to a rational surface; Seiberg-Witten invariants; Kodaira dimension CH. Okonek andA. Teleman, Les invariants de Seiberg-Witten et la conjecture de Van de Ven.C. R. Acad. Sei. Paris 321 (1995), 457--461. | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Zvonkine, D., An introduction to moduli spaces of curves and their intersection theory, Handbook of Teichmüller theory, 17, 667-716, (2012) | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) elliptic curve; number field; thety function; hyperbolic curve; anabelian geometry; ABC conjecture; Szpiro conjecture 12. S. Mochizuki, Inter-universal Teichmüller theory I-IV (2015); http://www.kurims. kyoto-u.ac.jp/motizuki/papers-english.html. | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) plane algebraic curve; intersection point; \(n\)-poised set; \(n\)-independent set | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Weierstrass semigroups; Gröbner basis; moduli space of the pointed complete Gorenstein curves Oliveira, G; Stöhr, K-O, Moduli spaces of curves with quasi-symmetric Weierstrass gap sequences, Geom. Dedic., 67, 65-82, (1997) | 1 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) deformation theory; pointed curves with a prescribed Weierstrass gap sequence; moduli of smooth projective curves; Gorenstein curves Stöhr, K-O, On the moduli spaces of Gorenstein curves with symmetric Weierstrass semigroups, J. Reine Angew. Math., 441, 189-213, (1993) | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) canonical curve; osculating space; Weierstrass gap sequence; \(n\)-differentials Pimentel, F, Intersection divisors of a canonically embedded curve with its osculating spaces, Geom. Dedic., 85, 125-134, (2001) | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Gorenstein curves; Weierstrass semigroup Oliveira, G; Stöhr, K-O, Gorenstein curves with quasi-symmetric Weierstrass semigroups, Geom. Dedic., 67, 45-63, (1997) | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Weierstrass gap sequences; genus; Weierstrass group Komeda, J, On the existence of Weierstrass gaps sequences on curves of genus \(\leq 8\), J. Pure Appl. Algebra, 97, 51-71, (1994) | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) standard basis; Gröbner basis; syzygies of a canonical curve; equations of Petri's type; non-minimal resolution; reducible canonical curves; Green's conjecture; second syzygy module; Hilbert's syzygy theorem Milnor, J.: On the 3-dimensional Brieskorn manifolds \textit{M(p, q, r)}. In: Neuwirth, L.P. (ed.) Knots, Groups, and 3-Manifolds (Papers Dedicated to the Memory of R. H. Fox), pp. 175-225. Princeton Univ. Press, Princeton, N. J. (1975) | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Schubert cycle; limit of Weierstrass points; family of smooth curves; Weierstrass points of prescribed gap sequence David Eisenbud and Joe Harris, When ramification points meet, Invent. Math. 87 (1987), no. 3, 485 -- 493. , https://doi.org/10.1007/BF01389239 David Eisenbud and Joe Harris, Existence, decomposition, and limits of certain Weierstrass points, Invent. Math. 87 (1987), no. 3, 495 -- 515. | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Mumford, David , '' Curves and Their Jacobians ''. University of Michigan Press, Ann Arbor, Michigan, second printing 1976 edition, 1975. | 0 |
Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) bibliography; Hilbert's basis theorem; dictionary: commutative algebra-projective algebraic geometry; Hilbert's syzygy theorem; Hilbert's Nullstellensatz; Hilbert polynomials; dimension theory; Dedekind domains; Hilbert-Samuel functions; elimination theory; computer algebra; modules of differentials; homological methods; Koszul complex; Cohen-Macaulay property; duality theory; linkage Eisenbud D, \textit{Commutative Algebra: With a View Toward Algebraic Geometry}, 150, Springer New York, 1995. | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) sums of squares; positive semidefinite function; formally real field; real holomorphy ring; Hilbert's 17-th problem; rational function fields; real closed field | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) continuous sums of squares; semi-algebraic geometry; Hilbert's \(17^{th}\) problem; continuous dependence on variables and coefficients; positive semi-definite polynomial; ordered field; real closure; sum of squares; weighted SOS; continuous, piecewise rational solution; semi- algebraic sets Delzell C.\ N., A continuous, constructive solution to Hilbert's 17th problem, Invent. Math. 76 (1984), 365-384. | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) representations of non-negative polynomials; degree bounds; optimization; quadratic modules; preorderings; local minima; global minima; Schmuedgen's theorem; first order theory of real closed fields; ultrafilters; gradient ideal; sums of squares relaxations M. Marshall, \textit{Representations of non-negative polynomials, degree bounds and applications to optimization,} Canad. J. Math., 61 (2009), pp. 205--221. | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Hilbert's 17th problem; sums of squares; real algebraic geometry; Bloch-Ogus theory Benoist, O., \textit{on hilbert's 17th problem in low degree}, Algebra Number Theory, 11, 929-959, (2017) | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) chainable fields; chains of orderings of higher level; higher level Hilbert's seventeenth problem; Nullstellensatz for chain-closed fields Gondard-Cozette, D.: Chainable fields and real algebraic geometry. Lecture notes in math. 1420 (1990) | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) rational points of affine variety; Hasse principle; ring of all algebraic integers; capacity theory on algebraic curves; completely valued algebraically closed fields; Hilbert's tenth problem; decision procedure for diophantine equations Rumelv, R. S., Arithmetic over the ring of all algebraic integers, Journal für die Reine und Angewandte Mathematik, 368, 127-133, (1986) | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) computer algebra; algebraic curve parametrization; factorization; solution of polynomial equations; constructive algebraic geometry; gcd computation; decomposition; linear systems; Hankel systems; Gröbner bases; polynomial algorithms; elementary theory of real closed fields; Gosper's algorithm; summation problems; algebraic curve; complexity Winkler, F., \textit{Polynomial Algorithms in Computer Algebra}, (1996), Springer, Vienna, Austria | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) \(C^\infty\) functions; sums of squares; basic closed semianalytic sets; positive semidefinite polynomials; Hilbert's 17th problem; formal power series; Weierstrass polynomials | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) sums of squares with rational coefficients; Hilbert's 17th problem; real plane quartics Scheiderer, C., Sums of squares of polynomials with rational coefficients, J. Eur. Math. Soc., 18, 7, 1495-1513, (2016) | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) orderings of higher level; \(p\)-real spectrum; \(p\)-real closed field; sums of \(2n\)th powers; Hilbert's 17th problem; formally real field; affine irreducible variety; independence-conjecture | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) real algebra; Hilbert's 17th problem; Positivstellensatz; general valuations; sums of squares; Schmüdgen's theorem; moment problem Prestel, A.; Delzell, C. N., \textit{Positive Polynomials -- From Hilbert's 17th Problem to Real Algebra}, (2001), Springer-Verlag, Berlin | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) real closed field of higher level; real valuation; real algebraic set; sums of \(2n\)-th powers; Hilbert's 17-th problem; formally real field E. Becker, R. Berr, F. Delon, D. Gondard, Hilbert's 17-th problem for sums of 2n-th powers, preprint | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) real algebraic geometry; real algebraic varieties; complexification; Smith's theory; Galois-Maximal varieties; algebraic cycles; real algebraic models; algebraic curves; algebraic surfaces; topology of algebraic varieties; regular maps; rational maps; singularities; algebraic approximation; Comessatti theorem; Rokhlin theorem; Nash conjecture; Hilbert's XVI problem; Cremona group; real fake planes | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Bibliography; geometric invariant theory; rationality of the field of invariants; constructive invariant theory; Hilbert's 14th problem; Poincaré series; categorical quotients; Russian conjecture Popov, V. L.; Vinberg, È. B., Invariant theory, (Algebraic Geometry. IV, Encyclopaedia of Mathematical Sciences, vol. 55, (1994), Springer-Verlag Berlin), (1989), Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn. Inform. Moscow, edited by A.N. Parshin and I.R. Shafarevich, vi+284 pp | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) real nullstellensatz; Hilbert's 17th problem; sum of squares of; meromorphic functions; real radical Ruiz, Jesús M., On Hilbert's 17th problem and real Nullstellensatz for global analytic functions, Math. Z., 0025-5874, 190, 3, 447-454, (1985) | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Hilbert's 17th problem; Hermitian forms; sums of squares; Hermitian length; algebraic sets; positivity conditions; CR complexity J. D'Angelo and M. Putinar, \textit{Hermitian complexity of real polynomial ideals}, Internat. J. Math., 23 (2012), 1250026. | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Hermitian sums of squares; Hilbert's 17th problem; positivity classes; Hermitian symmetric polynomials Halfpap, Jennifer; Lebl, Jiří, Signature pairs of positive polynomials, Bull. Inst. Math. Acad. Sin. (N.S.), 2304-7909, 8, 2, 169-192, (2013) | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) sums of squares; theory of Artin-Schreier for rings | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Hilbert irreducibility theorem; arithmetic unit disc; inverse problem of Galois theory; Galois covers of arithmetic surfaces; arithmetic convergent power series; Artin's approximation; henselization Harbater, D.: Galois covers of an arithmetic surface. Amer. J. Math. 110, 849-885 (1988) | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Complex multiplication of abelian varieties; total imaginary quadratic extension of totally real field; class field theory; Frobenius endomorphism; zeta function of abelian variety; Hilbert's 12th problem Shimura, G. and Taniyama, Y. Complex multiplication of abelian varieties and its applications to number theory The Mathematical Society of Japan, Tokyo, 1961 Math Reviews MR0125113 (23 \#A2419) | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) real closed field; sums of squares; Schmüdgen's Positivstellensatz; semi-algebraic set Prestel, Alexander, Bounds for representations of polynomials positive on compact semi-algebraic sets.Valuation theory and its applications, Vol. I, Saskatoon, SK, 1999, Fields Inst. Commun. 32, 253-260, (2002), Amer. Math. Soc., Providence, RI | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) real closed fields; orders on rings or fields; real algebraic set; Nash functions; Hilbert's 17th problem; Witt rings; semi-algebraic sets J. Bochnak, M. Coste, and M.-F. Roy, \textit{Real Algebraic Geometry}, Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 36, Springer-Verlag, Berlin, 1998. | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) excellent survey; representations as sum of squares of rational functions; positive semidefinite polynomials; Hilbert's 17th Problem; sums of \(2k\)th powers of rational functions B. Reznick, \textit{Some concrete aspects of Hilbert's 17th problem}, in Real Algebraic Geometry and Ordered Structures, Contemp. Math. 253, American Mathematical Society, Providence, RI, 2000, pp. 251--272. | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) nonstandard arithmetic; Galois theory; decision procedures; elementary theory of algebraically closed fields; undecidability; nonstandard model theory; Hilbert's irreducibility theorem; pseudo-algebraically closed fields; PAC fields; ultraproducts; Hilbertian field; absolut Galois group; embedding property M. Fried - M. Jarden , '' Field Arithmetic '', Springer-Verlag , 1986 . MR 868860 | Zbl 0625.12001 | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Bibliography; geometric invariant theory; rationality of the field of invariants; constructive invariant theory; Hilbert's 14th problem; Poincaré series; categorical quotients; Russian conjecture É. B. Vinberg and V. L. Popov, ''Invariant Theory,'' in Algebraic Geometry-4, Itogi Nauki i Tekhniki, Ser. Sovrem. Probl. Mat., Fund. Napr., 55 (Moscow, VINITI, 1989), pp. 137--309. | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) real Nullstellensatz; real closed field; positive semidefinite polynomial; sums of squares; totally ordered field; sup-inf-polynomially definable continuous functions; piecewise polynomial functions; Positivstellensatz González-Vega, Laureano; Lombardi, Henri, A real Nullstellensatz and Positivstellensatz for the semipolynomials over an ordered field, J. Pure Appl. Algebra, 90, 2, 167-188, (1993) | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) sums of squares; positive polynomials; certificates of positivity; Hilbert's 17th problem; positivstellensätze V. Powers, \textit{Positive Polynomials and Sums of Squares: Theory and Practice}, (2015). | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) recursively axiomatized class; pseudo real closed fields; strongly pseudo real closed; totally transcendental; totally real; Hilbertian fields; Hilbert's irreducibility theorem; model complete; model companionable; elimination of quantifiers; decidable; orderings; Nullstellensätze; function field; holomorphy ring; Prüfer ring; generalized Jacobson ring; p-adically closed fields DOI: 10.1007/BF03322485 | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) semi-algebraic set; real closed field; Schmüdgen's Positivstellensatz; sums of squares Cimprič, J.: Strict Positivstellensätze for matrix polynomials with scalar constraints. Linear Algebra Appl. \textbf{434}(8), 1879-1883 (2011) | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) multihomogeneous forms; sums of squares; isotropic measures; Hilbert's 17th problem | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Hilbert's 17-th problem; Hermitian forms; sums of squares; Hermitian length; Huang lemma DOI: 10.1090/S0002-9939-2011-10841-4 | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Sums of squares; nonnegative polynomials; Hilbert's 17th problem; Cayley-Bacharach relations G. Blekherman, \textit{Nonnegative polynomials and sums of squares}, J. Amer. Math. Soc., 25 (2012), pp. 617--635. | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) formal nullstellensatz; Hilbert 17th problem; level; semi-reality; Artin- Schreier theory; ordering; prime cone; real spectrum; Artin-Lang homomorphism theorem; real nullstellensatz; positivstellensatz; semi- algebraic sets; Tarski-Seidenberg principle 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. | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Hilbert's 17th problem; quantifier elimination; Thom encoding; constructive mathematics; realisability; incompatibility; positivstellensatz; real nullstellensatz; weak inference; weak existence; elementary recursive bounds on degrees | 1 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) local Hilbert's 16th problem; Nash space of arcs; planar quadratic vector fields; essential perturbation | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) 17th Hilbert problem; Pythagoras number; sum of squares; bad set; germs at closed sets Acquistapace, Francesca; Broglia, Fabrizio; Fernando, José F.; Ruiz, Jesús M., On the finiteness of Pythagoras numbers of real meromorphic functions, Bull. Soc. Math. France, 138, 2, 231-247, (2010) | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) real fields; sums of squares; topology of real algebraic varieties; Tarski-Seidenberg algorithm | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Hilbert's 17th problem; sum of squares of polynomials; convex cones M. Putinar and F.-H. Vasilescu, \textit{Positive polynomials on semialgebraic sets}, C. R. Math. Acad. Sci. Paris, 328 (1999), pp. 585--589. | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Birch-Swinnerton-Dyer conjecture; sums of squares; class number problem; imaginary quadratic fields; Gauss' conjecture; modular elliptic curve; Hasse-Weil L-function; class-number-one problem \BibAuthorsD. Goldfeld, Gauss' class number problem for imaginary quadratic fields, Bull. Amer. Math. Soc. 13 (1) (1985), 23--37. | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) real algebraic geometry; Gaussian field; harmonic polynomials; critical point theory; Hilbert's sixteenth problem Fyodorov, Yan V.; Lerario, Antonio; Lundberg, Erik, On the number of connected components of random algebraic hypersurfaces, J. Geom. Phys., 95, 1-20, (2015) | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Artin-Schreier-Witt theory; Galois \(G\)-covers of curves; Hilbert ramification theory; lifting of \(G\)-covers; Oort conjecture; smooth curves over valuation rings; Witt vectors F. Pop, ''Lifting of curves: The Oort conjecture,'' Ann. of Math., vol. 180, iss. 1, pp. 285-322, 2014. | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) sums of squares; Hodge theory; real algebraic geometry; variations of Hodge structures | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Analytic varieties; Proceedings; Symposium; Kyoto; RIMS; pseudoconvex domain; analytic varieties; Moduli spaces; compact Kähler manifolds; automorphism groups of certain compact Riemann surfaces; Logarithmic vector fields; Coxeter equality; Analytic K-theory; meromorphic maps into \(P^ N({\mathbb{C}})\); H. Cartan's theorems; Riemann- Hilbert problems; duality theorem; pseudoconvex region; rational homotopy type of open varieties; de Rham homotopy; combinatorial space forms | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) cyclotomic function fields; arithmetic of Witt vectors; Artin-Schreier extensions; maximal abelian extension; ramification theory | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) algorithms in real algebraic geometry; complexity; real counting problem; number of real roots; real roots of a polynomial; multivariate polynomials; Hilbert's Nullstellensatz Roy, M. -F.: Basic algorithms in real algebraic geometry and their complexity: from Sturm's theorem to the existential theory of reals, De gruyter expositions in mathematics 23, 1-67 (1996) | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) rational points on varieties over generalized real closed fields; Hilbert 17-th problem; model theoretic; real Nullstellensatz Becker, E.; Jacob, B.: Rational points on algebraic varieties over a generalized real closed field: A model theoretic approach. J. reine angew. Math. 357, 73-95 (1982) | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Kronecker's Jugendtraum; elliptic functions; elliptic integrals; arithmetic of elliptic curves; Weierstrass \(\wp\)-function; projective plane cubics; Abel's theorem; inversion problem; Jacobi functions; theta functions; Lefschetz theorem; embeddings; theta identities; Euler identities; Jacobi substitutions; quadratic reciprocity; Siegel modular group; modular forms; Eisenstein series; modular equation; arithmetic subgroups; arithmetic applications; solvability of algebraic equations; Galois theory; Klein's icosaeder; quintic equation; imaginary quadratic number fields; class invariants; class polynomial; Mordell-Weil theorem Henry McKean and Victor Moll, \textit{Elliptic Curves}, Cambridge University Press, Cambridge, 1997. | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Artin-Schreier type extensions; function fields; character sums; cyclic codes; trace codes; Wolfmann's bound Güneri C., Özbudak F.: Artin--Schreier extensions and their applications. In: Garcia, A., Stichtenoth, H.(eds) Topics in Geometry, Coding Theory and Cryptography, Algebra and Applications, vol. 6, pp. 105--133. Springer, Dordrecht (2007) | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Hilbert's 17th problem; positive semidefinite analytic function; sum of squares of meromorphic functions; complexification; normalization; non-coherence | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Hilbert's 16th problem; oval arrangements of real plane non-singular algebraic curves; Ragsdale's conjecture; Viro conjecture Ilia Itenberg, Contre-examples à la conjecture de Ragsdale, C. R. Acad. Sci. Paris Sér. I Math. 317 (1993), no. 3, 277 -- 282 (French, with English and French summaries). | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) totally ordered field; strong topology; strong approximation property; formally real algebraic extension; SAP; real algebraic variety; Hilbert's 17-th problem | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) ring of germs of real analytic functions; real Nullstellensatz; Hilbert's 17th problem; ordering Jaworski, P., Extensions of orderings on fields of quotients of rings of real analytic functions, Math. Nachr., 125, 329-339, (1986) | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.