text stringlengths 2 1.42k | label int64 0 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) Hilbert's 14th 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) affine curve linebundle; quadratic potential; Neumann's system; Burchnall-Chaundy-Krichever theory; Lax equations; constants of motion Flaschka H.: Towards an algebro-geometric interpretation of the Neumann system. Tohoku Math. J. (2) 36(3), 407--426 (1984) | 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) Gorenstein rings; Artin rings; Macaulay's inverse system; Hilbert function; Gorenstein colength | 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) Ramanujan's second notebook; continued fractions; products of gamma functions; irrationality of \(\zeta \) (3).; modified theta-function; theta-functions; sums of divisor functions; Rogers-Ramanujan identities | 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 tenth Problem; Undecidability; Elliptic curves; Quadratic forms; Rational points; Diophantine model Eisenträger, K., Hilbert's tenth problem for function fields of varieties over number fields and p-adic fields, J. Algebra, 310, 775-792, (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) inverse problem of Galois theory; Fischer-Griess monster as Galois group over \({\mathbb{Q}}\); finite simple groups; fundamental group; rigid simple groups; cyclotomic field; discrete subgroups of \(PSL_ 2({\mathbb{R}})\); congruence subgroup; modular curve; Puiseux-series; group of covering transformations; compact Riemann surface; algebraic function field; ramification points; cusps; lectures | 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 spaces; semi-algebraic sets; semi-algebraic continuous functions; real spectrum of excellent rings N. Schwartz, Real closed spaces, Habilitationsschrift, München, 1984. | 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) algebraic function fields; Galois theory of function fields; Kummer theory; valuations; flag functions F.\ A. Bogomolov and Y. Tschinkel, Commuting elements of Galois groups of function fields, Motives, polylogarithms and Hodge theory. Part I (Irvine 1998), Int. Press Lect. Ser. 3, International Press, Somerville (2002), 75-120. | 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) freeness of projective modules over polynomial rings; Rees ring; real closed field; rank DOI: 10.1007/BF01446885 | 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) certification; alpha-theory; Newton's method; real solutions; numerical algebraic geometry | 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) special values of zeta-functions; Gauss problem; motivic cohomology; algebraic \(K\)-theory; Iwasawa 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) Hilbert modular forms and varieties; congruences of modular forms; Sturm's theorem; toroidal and minimal compactifications; intersection numbers | 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) geometric theory of algebraic functions of one variable; Riemann-Roch theorem; algebraically perfect fields W. L. Chow, Die geometrische Theorie der algebraischen Funktionen für beliebige vollkommene Körper, Math. Ann. (1937) pp. 656-682. | 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) action of reductive linear algebraic group on affine scheme; closed orbit; affine Cremona group; fixed points; étale slice theorem; linearizable actions; cancellation problem; linearization problem H. Bass,Algebraic group actions on affine spaces, in Contemporary Mathematics, Vol. 43, Am. Math. Soc., 1985, pp. 1--23. | 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) cohomological dimension of fields; \(C_i\) property; Milnor K-theory; number fields; function fields | 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 squares of \(K3\) surfaces; tautological sheaves; stable sheaves on higher-dimensional holomorphic symplectic varieties Wandel, M, Stability of tautological bundles on the Hilbert scheme of two points on a surface, Nagoya Math. J., 214, 79-94, (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) Galois representation; totally real number field; Iwasawa theory; Hilbert modular forms; Hida deformations | 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) survey; analytic cover of a torus; ultrametric analysis; infinitesimals; finite-dimensional algebra over algebraically closed fields; finite Morley rank; analytic methods; compact complex manifold; strongly minimal structure; Zariski-type structure; algebraic curve B. Zilber, On model theory, non-commutative geometry and physics, manuscript. | 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; quantifier elimination; semi-algebraic sets; sign determination algorithm Canny, J.: Improved algorithms for sign determination and existential quantifier elimination. Comput. J. 36(5), 409--418 (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) Gauss sums of prehomogeneous vector space; prehomogeneous vector spaces defined over finite fields; micro-local analysis Gyoja, A.; Kawanaka, N.: Gauss sums of prehomogeneous vector spaces. Proc. Japan acad. Ser. A 61, 19-22 (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) uniformization in n dimensions; Mori's theory of rational curves; parabolic Einstein equation; holonomy; compact Kähler manifold; holomorphic bisectional curvature; Hermitian symmetric spaces | 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) abelian varieties; class field theory; CM-fields; Shimura's reciprocity law; theta constants | 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) upper bounds for solutions of diophantine equations; Runge theorem; finiteness of number of solutions; Brauer-Siegel theorem; Baker-Coates theory; linear forms in logarithms of algebraic numbers; \(p\)-adic case; representation of numbers by binary forms; Thue equation; rational approximations to algebraic numbers; effective strengthening of Liouville inequality; solution of Thue equation in \(S\)-integers; non-Archimedean metrics; polynomial equation; Mordell equation; Catalan equation; size of ideal class group; small regulator; effective variants of Hilbert on irreducibility of polynomials; Abelian points on algebraic curves Sprindžuk, Vladimir G., Classical Diophantine Equations, Lecture Notes in Mathematics 1559, xii+228 pp., (1993), 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) Bernstein-Kushnirenko theorem; semigroup of integral points; convex body; mixed volume; Alexandrov-Fenchel inequality; Brunn-Minkowski inequality; Hodge index theorem; intersection theory of Cartier divisors; Hilbert function Kaveh, K., Khovanskii, A.G.: Algebraic equations and convex bodies. In: Itenberg, I., Jöricke, B., Passare, M. (eds.) Perspectives in Analysis, Geometry, and Topology, on the Occasion of the 60th Birthday of Oleg Viro, Progress in Mathematics, vol. 296, pp. 263-282. Birkhäuser Verlag Ag (2012) | 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) inverse problem of Galois theory; Fischer-Griess monster as Galois group over \(\mathbb{Q}\); finite simple groups; fundamental group; rigid simple groups; cyclotomic field; discrete subgroups of \(PSL_2(\mathbb{R})\); congruence subgroup; modular curve; Puiseux series; group of covering transformations; compact Riemann surface; algebraic function field; ramification points; cusps J. Thompson , Some finite groups which appear as Gal (L/K) where K \subset Q(\mu n) , J. Alg. 89 (1984) 437-499. | 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 Thirteenth Problem; o-minimal structure; restricted analytic functions; global subanalytic sets Serge Randriambololona, o-minimal structures: low arity versus generation, Illinois J. Math. 49 (2005), no. 2, 547 -- 558. | 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) Virasoro conformal blocks; Painlevé transcendents; Stokes matrices; Stokes sectors; monodromy; Riemann-Hilbert problem (RHP); Fredholm determinant; Whittaker functions; Szegő constant; Toeplitz determinant; Young diagrams; Ponsot-Teschner Formula; quantum dilogarithms; connection formulas; connection constants; regular conformal blocks; irregular conformal blocks; Alday-Gaiotto-Tachikawa (AGT) relation; conformal field theory (CFT); 4D supersymmetric gauge theory; Nekrasov functions; Whittaker vectors; Whittaker module; Virasoro generators; Weyl symmetry group; Chiral vertex operator; tau function; Lax pair; Jimbo-Miwa-Ueno tau function; connection problem; Barnes \(G\)-function; Verma module; Virasoro algebra Lisovyy, O.; Nagoya, H.; Roussillon, J., Irregular conformal blocks and connection formulae for Painlevé V functions, J. Math. Phys., 59, 091409, (2018) | 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) Whitney's closed umbrella; relaxation type oscillator; bundles of binomial surfaces A. A. Davydov, ''The normal form of slow motions of an equation of relaxation type and fibrations of binomial surfaces,'' Math. USSR, Sb., 60, No. 1, 133--141 (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) motivic homotopy theory; slice filtration; motivic cohomology; algebraic \(K\)-theory; Hermitian \(K\)-theory; higher Witt-theory; quadratic forms over rings of integers; special values of Dedekind \(\zeta \)-functions of number fields | 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) unipotent representation; Jacobian; local class field theory; Tate module; exponent of Artin character; maximal unramified extension; semi-stable reduction; modular curve Krir, M.: Degré d'une extension de \({\mathbb{Q}}_p^{\mathrm nr}\) sur laquelle \(J_0(N)\) est semi-stable. Ann. Inst. Fourier (Grenoble) \textbf{46}(2), 279-291 (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) moments of quadratic Dirichlet; \(L\)-functions; ratios of \(L\)-functions; function fields; random matrix theory; hyperelliptic curves Andrade, J. C.; Keating, J. P., Conjectures for the integral moments and ratios of \textit{L}-functions over function fields, J. Number Theory, 142, 102-148, (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) secant variety; variety of reducible hypersurfaces; variety of reducible forms; intersection theory; weak Lefschetz Property; Froeberg's 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) right ideals; fractional ideals; integral closure; first Weyl algebra; graded regular algebras; generators; relations; graded reflexive right ideals; graded modules; Artin's quantum plane; equivalence of derived categories; Kronecker quiver DOI: 10.1006/jabr.1995.1046 | 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) number of components of the intersection of projective subvarieties; Bezout's theorem; intersection theory Vogel, W.: Remark on the number of componets of the intersection of projective subvarieties. Iraqi J. Sci. (To appear.) | 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) non-algebraically closed ground fields; Nash variety; real algebraic varieties | 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) reciprocity law for surfaces over finite fields; group of degree 0 zero- cycles; rational equivalence; abelian geometric fundamental group; unramified class field theory; K-theory; Chow groups Jean-Louis Colliot-Thélène & Wayne Raskind, ``On the reciprocity law for surfaces over finite fields'', J. Fac. Sci. Univ. Tokyo Sect. IA Math.33 (1986) no. 2, p. 283-294 | 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) Donaldson-Thomas theory; Riemann-Hilbert problem; Bridgeland stability conditions; BPS structure | 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) groups; linear algebra; infinite dimensional spaces; systems of linear differential equations; symmetry; finite subgroups of rotation group; free groups; generators; relations; Todd-Coxeter algorithm; bilinear forms; spectral theorems; linear groups; group representations; rings; algebraic geometry; factorization; modules; function fields and their relations to Riemann surfaces; Galois 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) Noether's problem; rationality problem; fixed field; rational extension; purely transcendental extensions; finite groups of automorphisms; twisted permutation Hoshi, A.; Kang, M., Twisted symmetric group actions, Pacific J. Math., 248, 2, 285-304, (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) Polynomial optimization problem; Conic program; Symmetric cone; Euclidean Jordan algebra; Sum of squares; Global optimization; Semidefinite program Kojima, M.; Muramatsu, M.: A note on sparse Sós and SDP relaxations for polynomial optimization problems over symmetric cones, Computational optimization and applications 42, No. 1, 31-41 (2009) | 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 covering; Brauer-Manin obstruction; global field of positive characteristic David Harari and José Felipe Voloch, Descent obstructions and Brauer-Manin obstruction in positive characteristic, J. Inst. Math. Jussieu 12 (2013), no. 3, 545 -- 551. | 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) general mathematical physics; history of contemporary mathematics; algebraic geometry; quantum field theory; string 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) closed model structures; pro-spaces; étale homotopy; homotopy category of simplicial sets; prosimplicial sets; shape theory; abstract homotopy theory; homotopy structures of pro-categories D. C. Isaksen, ''A model structure on the category of pro-simplicial sets,'' Trans. Amer. Math. Soc., vol. 353, iss. 7, pp. 2805-2841, 2001. | 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) public key cryptography; discrete logarithm; abelian varieties over finite fields; Jacobian varieties of hyperelliptic curves; Galois theory; Weil descent; Tate duality G. Frey, Applications of arithmetical geometry to cryptographic constructions, in Proceedings of the Fifth International Conference on Finite Fields and Applications (Springer, Berlin, 2001), pp. 128--161 | 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) Riemann-Hilbert problem; Milnor theory; Differential systems | 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 series of the Grassmannian; Narayana numbers; Euler's hypergeometric transform | 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 curve; number of rational points; Weil bound; improved bound A. Rojas-León and D. Wan, Improvements of the Weil bound for Artin-Schreier curves , Math. Ann. 351 (2011), 417-442. | 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) first-order theory; quantifier elimination; torsion points; categoricity; \(L_{\omega_1,\omega}\)-theory; universal covers; semi-abelian varieties over algebraically closed fields; complex numbers; algebraic group; Galois automorphism Zilber, B.: Model theory, geometry and arithmetic of the cover of a semi-abelian variety. In: Model Theory and Applications, Proceedings of the Conference in Ravello, 2000. Received 13 May 2014\bullet First revised received 15 July 2014 \bullet Second revised received 5 January 2015\bullet Accepted 16 March 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) apolarity; border rank; Cox ring; invariant ideals; multigraded Hilbert scheme; variety of sums of powers | 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 form; positive semidefinite form; sum of squares; symmetric form; even form Goel, C.; Kuhlmann, S.; Reznick, B.: The analogue of Hilbert's 1888 theorem for even symmetric forms. (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) representation theory; reductive algebraic groups; simple G-modules; highest weights; character formula; Weyl's formula; affine group schemes; injective modules; injective resolutions; derived functors; Hochschild cohomology groups; hyperalgebra; split reductive group schemes; Steinberg's tensor product theorem; irreducible representations; Kempf's vanishing theorem; Borel-Bott-Weil theorem; characters; linkage principle; dominant weights; filtrations; Steinberg modules; cohomology ring; ring of regular functions; Schubert schemes; line bundles [6] Jantzen J.\ C., Representations of Algebraic Groups, Academic Press, Orlando, 1987 | 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) densities of discriminants of cubic fields; 3-class-number of quadratic fields; binary cubic forms; adelization; zeta-functions; function field; Dedekind's zeta-function | 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) local Fourier transform; epsilon-factors; vanishing cycles; Artin-Schreier-Witt theory Abbes, A.; Saito, T., Local Fourier transform and epsilon factors, Compos. Math., 146, 6, 1507-1551, (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) complex rank; real rank; binary forms; sums of powers; Sylvester form; Stufe Reznick, B.; Tokcan, N., Binary forms with three different relative ranks, arXiv 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) isomorphism classes of distinguished varieties; Ando's inequality; biholomorphic bijection; analytic matrix-valued functions; inner functions; Pick problem; admissible kernel; extension Krishna Das, B., Gorai, S., Sarkar, J.: On Quotient modules of \(H^2(D^n)\): Essential Normality and Boundary Representations. arXiv: 1410.5633 | 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 modular surface; foliation; real multiplication; Teichmüller theory; polygonal billiards; Lattès map McMullen C.: Foliations of Hilbert modular surfaces. Am. J. Math. 129, 183--215 (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) arithmetic geometry codes; curves with many rational points; modular curves; class field theory; Deligne-Lusztig curves; infinite global fields; decoding of AG-codes; sphere packings; codes from multidimensional varieties; quantum AG-codes | 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) transfer principle; absolute Galois group of the rational function field; real closed field; Tarski principle L. van den Dries and P. Ribenboim, ''An application of Tarski's principle to absolute Galois groups of function fields,'' Ann. Pure Appl. Log., 33, 83--107 (1987). | 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) Hall algebras of abelian categories; Lusztig's theory O. Schiffmann, \textit{Lectures on canonical and crystal bases of Hall algebras} , arXiv: 0910.4460v2. | 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) research monograph; varieties over finite fields; zeta functions; Fermat varieties; \(l\)-adic cohomology; Weil cohomology; theory of Galois descent Brünjes, Lars: Forms of Fermat equations and their zeta functions, (2004) | 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) Strong negativity; Sums of squares | 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) incomplete character sums; \(\ell\)-adic cohomology; Artin-Schreier-type sheaves Fu, L.; Wan, D. Q., A class of incomplete character sums, Q. J. Math., 65, 1195-1211, (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) Hirzebruch-Vignéras formula for the arithmetic genus; special 3-folds; Hilbert modular varieties; totally real cubic fields; elliptic fixed points; non-Galois cubic fields; arithmetic genus one Grundman, H. G.: The arithmetic genus of Hilbert modular varieties over non-Galois cubic fields. J. Number Theory37, 343--365 (1991) | 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) survey paper; Cauchy transform; determinateness criteria; multivariate moment problem; Hilbert space operators; complex function theory; polynomial approximations; disintegration; integral geometry Putinar, M; Schmüdgen, K, Multivariate determinateness, Indiana Univ. Math. J., 57, 2931-2968, (2008) | 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) Abel's theorem applied to the theory of algebraic curves. | 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; positive polynomials; sum of squares; semidefinite programming J. B. Lasserre, \textit{A sum of squares approximation of nonnegative polynomials}, SIAM J. Optim., 16 (2006), pp. 751--765. | 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 series; Stirling numbers of the second kind; algebraic groups; representation 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) semiregularity map; obstruction theory; functors of Artin rings; differential graded Lie algebras; DGLAs; Kodaira principle; curvilinear deformations; curvilinear obstructions | 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) ordinary singularities of curves; coordinate ring of a curve; Hilbert function; Cohen-Macaulay type; K-theory Gupta, S. K.; Roberts, L. G., Cartesian squares and ordinary singularities of curves, \textit{Commun. Algebra}, 11, 2, 127-182, (1983) | 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) arithmetic theory of algebraic groups; algebraic groups over number fields; arithmetic groups; reduction theory; adele groups; Galois cohomologies; Hasse principle; class numbers; normal structure; groups of rational points; automorphic functions Platonov, V. P. \& Rapinchuk, A. S., Algebraic Groups and Number Theory. Nauka, Moscow, 1991 (Russian). | 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) polynomial ideals; elimination theory; algebro-geometric complexity; Hilbert's Nullstellensatz | 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) theta divisor in the Jacobian of a non-hyperelliptic smooth curve; rank-4 double point; rank-4 quadrics conjecture; generic constructive Torelli theorem; infinitesimal deformation theory for the singularities of theta divisors SMITH (R.) , VARLEY (R.) . - Deformations of theta divisors and the rank 4 quadrics problem , Compositio Math., t. 76, 1990 , n^\circ 3, p. 367-398. Numdam | MR 92a:14025 | Zbl 0745.14012 | 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) product of sums of squares; Hopf condition; projective quadric; motivic cohomology; Chow group Dugger, D., Isaksen D.: The Hopf condition for bilinear forms over arbitrary fields. Ann. Math (2) 165, 943-964 (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) Lehmer's problem in dimension two; lower bound for height of non-torsion point Pontreau, C.: Minoration effective de la hauteur des points d'une courbe de gm2 définie sur Q. Acta arith. 120, No. 1, 1-26 (2005) | 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) moduli of curves; modular towers; regular inverse Galois problem; moduli spaces of coverings; Hurwitz spaces; Hilbert-Siegel theorem Pierre Dèbes, Arithmétique et espaces de modules de revêtements, Number theory in progress, Vol. 1 (Zakopane-Kościelisko, 1997) de Gruyter, Berlin, 1999, pp. 75 -- 102 (French, with French summary). | 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) small fields of definition; real varieties; smooth approximation; generators for the \(K\)-theory of strongly algebraic vector bundles; algebraic model of compact differential manifold Ballico, E.: On the field of definition of vector bundles on real varieties,Geom. Dedicata 47 (1993), 317-325. | 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) Witt ring of singular real curve; K-theory of fibre products Dietel, G.: Wittringe singulärer reeller kurven. Comm. algebra 11, No. 21, 2393-2494 (1983) | 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) Parshin's conjecture; Miyaoka-Yau inequality; surfaces of general type; fields of positive characteristic Jang, J, Generically ordinary fibrations and a counterexample to parshin's conjecture, Mich. Math. J., 59, 169-178, (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) arithmetic theory of algebraic function fields Lettl, G, Thue equations over algebraic function fields, Acta Arith., 117, 107-123, (2005) | 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) immersion of the real projective plane into \({\mathbb{R}}^ 3\); algebraic surface; degree; Boy's surface; Steiner's Roman surface; parametrization of Boy's surface; regular homotopy classes Apéry, F.: La surface de boy. Adv. in math. 61 (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) Pythagoras number; sums of squares; analytic curve germ; global analytic curve; positive semidefinite; singular point Acquistapace, Francesca; Broglia, Fabrizio; Fernando, José F.; Ruiz, Jesús M., On the Pythagoras numbers of real analytic curves, Math. Z., 257, 1, 13-21, (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) normed pairing; Galois representations; formal group of finite height; Hilbert's symbol; local field D. G. Benua and S. V. Vostokov, Norm pairing in formal groups and Galois representations, Algebra i Analiz 2 (1990), no. 6, 69 -- 97 (Russian); English transl., Leningrad Math. J. 2 (1991), no. 6, 1221 -- 1249. | 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) algorithm for the computation of the topological type of a real curve; Thom's lemma Roy, M. -F.: Computation of the topology of a real curve. Astérisque 192, 17-33 (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) square of Ramanujan; symmetric squares; harmonic sums | 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) Positivstellensatz; Nash functions; semi-algebraic subsets; Hilbert's 17th problem; Nullstellensatz Cucker, F.; Roy, M. -F.: Théorèmes des zéros et positivstellensatz pour LES fonctions de Nash dans le cas non lisse. CR acad. Sci. Paris sér. I 303, No. 12, 563-566 (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) topos; coherent theory; spatial; Henselian local ring; p-adically closed local rings; finitary geometric; p-adically closed fields; p-adic spectrum DOI: 10.1016/0022-4049(86)90047-2 | 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) p-adic fields; Kochen operator; finite field; Merckel's lemma; constructive proof | 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) isotriviality; effective Mordell; semiabelian variety; positive characteristic; survey of diophantine geometry; bounding the heights of rational points on curves over function fields; semiabelian varieties; Roth's theorem Voloch, José Felipe, Diophantine geometry in characteristic \(p\): a survey.Arithmetic geometry, Cortona, 1994, Sympos. Math., XXXVII, 260-278, (1997), Cambridge Univ. Press, Cambridge | 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) hyperbolic polynomials; determinantal representation; spectrahedron; semidefinite programming; Bézout matrix; hyperbolicity cone; sum of squares; real algebraic geometry; convex algebraic geometry | 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) numerical effective bundle; higher dimensional analogue of Mordell's finiteness conjecture over function fields; nef | 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) higher algebraic \(K\)-theory; Milnor \(K\)-theory; finite fields; Tate's conjecture; Beilinson's conjecture; Parshin's conjecture; Chow groups; category of pure motives; étale cohomology; motivic cohomology Thomas Geisser, ``Tate's conjecture, algebraic cycles and rational \(K\)-theory in characteristic \(p\).'', \(K\)-Theory13 (1998) no. 2, p. 109-122 | 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) counting real points; counting real zeros; rational points; trace formula for quadratic forms; commutative ring; scaled Pfister form; algorithms; algebraic variety; quantifier elimination for real closed fields; Bröcker-Scheiderer theorem Becker, E.; Wörmann, T., On the trace formula for quadratic forms, (), To appear | 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) Jacobian; Hilbert scheme of points; period map; Torelli problem; Springer resolution; Langlands duality; perverse sheaves; Griffiths period domain; affine Lie algebras; variation of Hodge structure | 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) irreducibility of polynomials; number fields; Hilbert irreducibility theorem; effective version; height | 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) finite element exterior calculus; exterior calculus; de Rham cohomology; Hodge theory; Hodge Laplacian; mixed finite elements; differential complexes; stability; convergence; Hilbert complex; Koszul complex; equations of elasticity D. N. Arnold, R. S. Falk, and R. Winther, \textit{Finite element exterior calculus: From Hodge theory to numerical stability}, Bull. Amer. Math. Soc. (N.S.), 47 (2010), pp. 281--353. | 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) polynomial system; numerical Schubert calculus; SAGBI homotopy; polyhedral continuation; flat deformation; cheater's homotopy; pole placement problem; control theory J. Verschelde, ''Numerical evidence for a conjecture in real algebraic geometry,'' Experiment. Math., vol. 9, iss. 2, pp. 183-196, 2000. | 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) local fields; p-adic number fields; diophantine equations; Bernoulli numbers; recurrent series; power series of algebraic; functions; Weierstrass preparation theorem; Newton polygon; Kronecker-Weber theorem; Jacobi sums; Hasse principle; Selmer; group; p-adic L-functions; rationality of power series J. W. S. Cassels, \textit{Local fields}, London Mathematical Society Student Texts, Vol. 3, Cambridge University Press, Cambridge, 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) factorial terminal singularities; cone of effective divisors; cone of numerically effective curves; rationality of spectral value; threefold; coextremal ray; Mori's theory; ample Cartier divisor Victor V. Batyrev, The cone of effective divisors of threefolds, Proceedings of the International Conference on Algebra, Part 3 (Novosibirsk, 1989) Contemp. Math., vol. 131, Amer. Math. Soc., Providence, RI, 1992, pp. 337 -- 352. | 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) Fano variety; anticanonical divisor; pseudoindex; Mori's theory; family deformation of a rational curve Wiśniewski, J., On a conjecture of Mukai, Manuscripta Math., 68, 135-141, (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) theory of algebraic curves; coding theory; Riemann-Roch theorem; function fields; differentials; Hasse-Weil theorem; geometric Goppa codes; trace codes H. Stichtenoth, Algebraic Function Fields and Codes, Second edn, (Springer-Verlag, Berlin Heidelberg, 2009). Zbl0816.14011 MR2464941 | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.