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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) Nullstellensatz; real Nullstellensatz; Stein spaces; \(C\)-analytic sets; radical; real radical; Łojasiewicz radical; Hilbert's 17th problem Acquistapace, Francesca; Broglia, Fabrizio; Fernando, José F., On the Nullstellensätze for Stein spaces and \(C\)-analytic sets, Trans. Amer. Math. Soc., 368, 6, 3899-3929, (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) Riemann-Roch formula for \(\ell\)-adic sheaves of rank one; \({\mathcal D}\)-module; invariants of wild ramification; ramification in finite coverings of higher dimensional schemes; Artin characters for higher dimensional regular local rings; class field theory; Serre's conjecture; ramification of Galois representations; Swan conductor; characteristic cycle K. Kato, Class field theory, \(D\)-modules, and ramification on higher-dimensional schemes, Part I, Amer. J. Math., 116, 757-784, (1994) | 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 moment property; semi-algebraic sets; preorderings; fibre-preorderings; real algebra; positive polynomials and sums of squares; polynomial optimization T. Netzer, Positive polynomials and sequential closures of quadratic modules, Transactions of the American Mathematical Society 362 (2010), 2619--2639. | 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) absolute Galois group; prc-fields; profinite group; real projective; involution; Artin-Schreier structures; projectivity D. Haran and M. Jarden,The absolute Galois group of a pseudo padically closed field, Journal für die reine und angewandte Mathematik | 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 equivalence of algebras; varieties of algebras; real-closed fields A. Berzins, ''Geometrical equivalence of algebras,''Int. J. Alg. Comput., 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) Hilbert's fourteenth problem; invariant theory; locally nilpotent derivations; historical framework Freudenburg, G.: A survey of counterexamples to Hilbert's fourteenth problem. Serdica math. J. 27, 171-192 (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) Hilbert's fifth problem; proper action; Cartan action; real analytic action; equivariant triangulation; equivariant Whitehead torsion; equivariant real analytic approximation | 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 extensions of function fields; automorphisms; \(k\)-error linear complexity; joint linear complexity; multisequences | 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; \(M\)-surfaces; real algebraic surface; complexification; singular surfaces; Viro's method L. Chevallier, Smoothing isolated singularities on real algebraic surfaces, Adv. in Soviet Math. | 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 rings; excellent rings; completion; preorderings; curve singularities; spaces of orderings; positive polynomials; sums of squares; real algebraic geometry; saturation; constructible sets | 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) semialgebraic set with respect to a valuation; path component; real closed field; curve selection; definable function; polynomial function; algebraic sets; semialgebraic sets; cell decomposition; definable sets; valued fields; ordered fields; Tarski principle; dimension | 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) quadratic forms; sums of squares; Pythagoras number; excellent ring; henselian ring; Artin approximation Fernando, J. F.; Ruiz, J. M.; Scheiderer, C.: Sums of squares of linear forms, Math. res. Lett. 13, No. 5 -- 6, 947-956 (2006) | 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) Batyrev-Manin conjecture; Châtelet surfaces; rational points; torsors; sums of two squares; Peyre's constant | 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) Hecke L-series; critical values; algebraic Hecke characters; CM-fields; \(\Gamma \)-factors; functional equation; periods; abelian varieties with complex multiplication; Kloosterman series; Hilbert modular forms; Shimura's reciprocity laws; category of motives; absolute Hodge cycles; values of L-functions D. Blasius, On the critical values of Hecke \(L\)-series, Ann. of Math. (2) 124 (1986), 23--63. | 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; constructive algebra; real closed ring; dynamical 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) theta series; modular cusp forms; Hilbert's modular groups; real quadratic fields Hermann, Carl Friedrich, Thetareihen und modulare Spitzenformen zu den Hilbertschen Modulgruppen reell-quadratischer Körper, Math. Ann., 0025-5831, 277, 2, 327-344, (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) families of curves; circle; Möbius geometry; real surface; del Pezzo surface; Néron-Severi lattice; root subsystem; hexagonal web; Blum's conjecture; Blaschke-Bol 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) anabelian geometry; absolute Galois groups; metabelian Galois groups; \(p\)-adically closed fields; rational points; valuations; Hilbert decomposition theory; (birational) section 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) orderings of higher level; \(p\)-real spectrum; theory of \(p\)-real closed fields R. Berr, The algebraic structure sheaf of the real spectrum | 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) étale sheaves; fundamental groups; Artin symbol; model theory of sheaves; pseudo-finite 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) elimination theory; quantifier free formula; Place extension theorems; ordered fields; finiteness theorem of semi-algebraic geometry L. van den Dries, Some applications of a model theoretic fact to (semi-) algebraic geometry, Nederl. Akad. Indag. Math., 44 (1982), 397--401. | 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) nonnegative polynomial; sums of nonnegative circuit polynomials; sums of squares; real zeros; faces; dimensional differences | 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 generation of algebra of invariant functions; Hilbert's fourteenth problem; algebraic group Grosshans, F., \textit{hilbert's fourteenth problem for non-reductive groups}, Math. Z., 193, 95-103, (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) Pólya's theorem; positive polynomial; sums of squares Castle, M.; Powers, V.; Reznick, B.: Pólya's theorem with zeros, J. symb. Comput. 46, 1039-1048 (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) real function fields; real holomorphy ring; valuation rings; formally real residue field; regular projective model; rational point; real prime divisors; signatures of higher level; sums of n-th powers; local-global principle; weak isotropy; quadratic forms; Henselizations Schülting, H. W.: The binary class group of the real holomorphy ring. (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) infinite tower of function fields; asymptotically good tower; long algebraic-geometric codes with good parameters; Artin-Schreier extensions; Kummer extensions Garcia, A.; Stichtenoth, H., Asymptotically good towers of function fields over finite fields, C. R. Acad. Sci. Paris Sér. I Math., 322, 11, 1067-1070, (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) Hilbert's tenth problem; rings of integers; ranks of elliptic 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) Hilbert function; dimension of linear system; zero-dimensional scheme; Hilbert's fourteenth problem; generic fat points Evain, L., La fonction de Hilbert de la réunion de \(4^h\) gros points génériques de \(\mathbb P^2\) de même multiplicité, J. Algebraic Geom., 8, 4, 787-796, (1999) | 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) biquadratic forms; positive semidefinite; real zeros; sums of squares Quarez, Ronan: On the real zeros of positive semidefinite biquadratic forms. Comm. algebra 43, No. 3, 1317-1353 (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) survey; differential algebra; diophantine geometry; stability; stable groups; differentially closed fields; \(\omega\)-stable structures; differential algebraic groups; \(\delta\)-definable groups; differential algebraic geometry; algebraic group; differential Galois theory of strongly normal extensions; Galois groups; Mordell-Lang conjecture; geometric version Pillay, A.: Model theory, differential algebra and number theory. Proc. ICM '94 (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) planar quadratic differential system; weak focus of third order; Hilbert's sixteenth problem Llibre, J. & Schlomiuk, D. [2004] '' The geometry of quadratic differential systems with a weak focus of third order,'' Canad. J. Math.56, 310-343. genRefLink(16, 'S0218127416501881BIB019', '10.4153%252FCJM-2004-015-2'); genRefLink(128, 'S0218127416501881BIB019', '000220340700005'); | 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 invariant theory; quotient varieties; Picard varieties; stability of vector bundles; Verlinde formula; moduli spaces; Jacobians of curves; fourteenth Hilbert problem; line bundle S. Mukai, \textit{An Introduction to Invariants and Moduli}, Cambridge Studies in Advanced Mathematics, Vol. 81, Cambridge University Press, Cambridge, 2003. | 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 fourteenth problem; locally nilpotent derivations; ring of invariants Freudenburg, G.: A linear counterexample to the fourteenth problem of Hilbert in dimension eleven, Proc. amer. Math. soc. 135, 51-57 (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) Pólya's theorem; positive polynomials; sums of squares Castle, M.; Powers, V.; Reznick, B.: A quantitative Pólya's theorem with zeros, Journal of symbolic computation 44, No. 9, 1285-1290 (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) local duality; D-modules; derived categories; global duality; Mebkhout's equivalence; Riemann-Hilbert correspondence; local algebraic cohomology of analytic D-modules; problem of Cauchy-Kowalewski; perverse sheaves; vanishing cycles Mebkhout, Z., Le formalisme des six opérations de Grothendieck pour les DX-modules cohérents, Travaux en Cours, vol. 35, (1989), Hermann: Hermann Paris, With supplementary material by the author and L. Narváez Macarro | 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 geometry; Riemann hypothesis; function fields; Severi's algebraic theory of correspondences on algebraic curves André Weil [3] On the Riemann hypothesis in function-fields , Proceedings of the National Academy of Sciences, vol. 27 (1941), pp. 345-347. Duke University. | 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 fourteenth problem; non-finitely generated polynomial subalgebra; invariant theory; birational automorphism; rationality; Noether's 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) real closed fields; real semi-algebraic sets; quantifier elimination; complexity of algorithms; algorithmic real algebraic geometry S. Basu, R. Pollack, and M.-F. Roy, \textit{Algorithms in Real Algebraic Geometry}, Algorithms Comput. Math. 10, Springer-Verlag, Berlin, 2003. | 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) anabelian geometry; étale fundamental groups; \(p\)-adically closed fields; local-global principles for Brauer groups; rational points; valuations; Hilbert decomposition theory F. Pop, On the birational p-adic section conjecture, Compos. Math. 3 (2010), no. 3, 621-637. | 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 function fields; real holomorphy ring; valuation rings; formally real residue field; regular projective model; rational point; real prime divisors; signatures of higher level; sums of n-th powers; Local-Global- Principle; weak isotropy; quadratic forms; Henselizations SCHÜLTING, H.W.: Prime divisors on real varieties and valuation theory. J. Alg.98, 499-514 (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) exponential sums; exponential integrals; pseudofinite fields; measure; categorical theory; algebraically closed fields; rank-one structures; random graphs; vector spaces I. Tomašić, Exponential sums in pseudofinite fields and applications, Illinois Journal of Mathematics 48 (2004), 1235--1257. | 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) convergent series; real closed field; \(\eta _{\xi }\)-field; surreal number fields; hyper-convergence; valuation; birthday function; power series field; ordered sets; ordered groups; ordered fields; semi- algebraic set; analytic functions Alling, Norman L., Foundations of analysis over surreal number fields, Notas de Matemática [Mathematical Notes], 117, xvi+373 pp., (1987), North-Holland Publishing Co., Amsterdam | 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) conic optimization; extended formulation; linear matrix inequality; nonnegative circuit polynomial; polynomial optimization; projected spectrahedron; Ramsey theory; real algebraic geometry; second-order cone; semidefinite optimization; sum of squares; truncated quadratic module | 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; derived categories; deformations; Hilbert scheme of points; Hilbert square; exceptional coordinate sheaf; Fourier-Mukai functor; Hochschild cohomology; relative local-to-global Ext spectral sequence; faithful; full and faithfull; relative local to global \(\operatorname{Ext}\) spectral sequence; noncommuative deformation 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) group schemes; Kummer-Artin-Schreier theory; nonramified cyclic extensions of a local ring; arithmetic schemes Sekiguchi, T., Suwa, N.: Théorie de Kummer-Artin-Schreier et applications. J. Théorie Nombres Bordeaux 7, 177--189 (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) positive polynomials; sums of squares; moment problem M. Marshall, Polynomials non-negative on a strip. \textit{Proc. Amer. Math. Soc}. \textbf{138} (2010), 1559-1567. MR2587439 Zbl 1189.14065 | 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) quotient spaces of Hilbert modular groups of totally real number fields H. G. Grundman and L. E. Lippincott, Hilbert modular fourfolds of arithmetic genus one, High primes and misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams, Fields Inst. Commun., vol. 41, Amer. Math. Soc., Providence, RI, 2004, pp. 217 -- 226. | 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; homogeneous polynomial; quasi-projective variety; Hilbert subset; algebraic cycle with rational coefficients; finite fields; rationality of the zeta function of Hilbert sets; Dwork's rationality theorem; decomposition theorem Wan, Daqing: Hilbert sets and zeta functions over finite fields, J. reine angew. Math. 427, 193-207 (1992) | 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 fields; character sums; Weil conjectures; Riemann-Roch theorem; points on curves over finite fields; zeta-functions; \(L\)-functions; idele class characters; modular forms; automorphic representations; Ramanujan graphs; Alon-Boppana theorem; regular graphs; Riemann hypothesis for zeta functions of curves over finite fields; exponential sums; Cayley graphs; finite upper half plane graphs; valuations of function fields; projective curve; Hecke operators; automorphic representations of quaternion groups; expander; simple random walk; spectral theory of graphs Li, W. -C. Winnie: Number theory with applications. Series of university mathematics 7 (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) 17th Hilbert Problem; real polynomial; real analytic function; rational function; Artin-Lang property | 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) Diophantine definitions; rings of algebraic functions; Hilbert's Tenth Problem [S2] A. Shlapentokh,Hilbert's tenth problem for rings of algebraic functions of characteristic zero, Journal of Number Theory40 (1992), 218--236. | 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) semidefinite programming; global optimization; positive semidefinite polynomials; sums of squares; moment problems; Putinar's representation theorem; relaxations; Karush Kuhn Tucker multipliers. Lasserre, J.B. (2007). Sum of squares approximation of nonnegative polynomials, SIAM Journal on Optimization\textbf{49}(4): 651-669. | 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) quadratic forms; numerical invariants of fields; level of a field; non-formally real fields; anisotropic quadratic form; formally real fields; \(u\)-invariants; Pythagoras number; existence of \(K\)-rational points for systems of forms; homogeneous Nullstellensatz for \(p\)-fields; Borsuk-Ulam Theorem; spheres; Tsen-Lang theory of \(C_ i\)-fields; computation of the levels of projective spaces; Witt rings A. Pfister, \textit{Quadratic forms with applications to algebraic geometry and topology}. London Mathematical Society Lecture Note Series, \textbf{217}. Cambridge University Press, Cambridge, 1995. zbl 0847.11014; MR1366652 | 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 field of arbitrary dimension; multidimensional algebraic geometry; duality theory; analogy of classical class field theory; description of Abelian extensions in terms of higher K-functors; Artin-Schreier dualities; fundamental almost-isomorphism A. N. Parshin, ''Local class field theory,'' in Algebraic Geometry and Its Applications, Trudy Mat. Inst. Steklov (1984), Vol. 165, pp. 143--170 [in 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) positive polynomials; sums of squares; even powers of linear forms; volume of convex bodies; Blaschke Santalo inequality; Kellog's theorem; Gegenbauer polynomials; gauge function G. Blekherman, \textit{There are significantly more nonnegative polynomials than sums of squares}, Israel J. Math., 153 (2006), pp. 355--380. | 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) function fields; finite fields; towers of function fields; Artin-Schreier extensions of 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) general topology in the context of semi-algebraic spaces over; arbitrary real closed fields; CW-complexes; weakly semialgebraic spaces; homotopy; Homology; cohomology; Simplicial spaces; general topology in the context of semi-algebraic spaces over arbitrary real closed fields Knebusch M., Weakly Semialgebraic Spaces (1989) | 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 curve; scheme of ovals; limit cycle; bifurcation of vector fields; configuration of limit cycles; Hilbert number \(H(n)\) Li, J. [2003] '' Hilbert's 16th problem and bifurcations of planar polynomial vector fields,'' Int. J. Bifurcation and Chaos13, 47-106. [Abstract] genRefLink(128, 'S0218127416502047BIB015', '000181650000004'); | 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) quotient spaces of Hilbert modular groups of totally real 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) positive polynomials; sums of squares; real algebraic surfaces | 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) subalgebras of finitely generated algebras; Hilbert's 90 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) wildly ramified extension; quasi-\(p\) group; Artin-Schreier-Witt theory; Abhyankar's inertia conjecture Manish Kumar, ``On the compositum of wildly ramified extensions'', J. Pure Appl. Algebra218 (2014) no. 8, p. 1528-1536 | 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; sums of squares; Pythagoras numbers; real analytic functions; semi- algebraic sets Scheiderer, C.: Real and étale cohomology. Lecture notes in mathematics 1588 (1992) | 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) quotients; quasi-affine varieties; rings of invariants; Krull rings; Hilbert's fourteenth problem; ring of functions on an affine variety; ideal transform Winkelmann, Jörg: Invariant rings and quasiaffine quotients. Math. Z. 244, 163-174 (2003) | 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; real spectrum; orderings of higher level; chain signature; henselian valuation; semi-algebraic geometry over 2-real- closed 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) Gauss-Manin system; versal deformation of an isolated singularity; Hilbert's 16th 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) K3 surface over a finite field; Tate's conjecture on algebraic cycles; order of pole of zeta function; crystalline deformation theory; quasi-canonical varieties over p-adic fields; equicharacteristic deformations of abstract F-crystals Nygaard, Niels; Ogus, Arthur, Tate's conjecture for \(K3\) surfaces of finite height, Ann. of Math. (2), 0003-486X, 122, 3, 461-507, (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) positivity; sums of squares; moment problem; semialgebraic set S. Kuhlmann, M. Marshall and N. Schwartz, Positivity, sums of squares and the multidimensional moment problem II, Advances in Geometry 5 (2005), 583--606. | 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) elliptic curves; real closed fields; Pillay's conjecture; algebro-geometric reduction | 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; real affine algebraic curves; real hyperelliptic curves; Picard group J. Huisman, L. Mahé, Geometrical aspects of the level of curves, J. Alg., Preprint, 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) tower of function fields; finite field; Artin-Schreier extension A. Garciaand H. Stichtenoth. Some Artin-Schreier towers are easy. Mosc.Math. J., 5 (2005), 767--774. | 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) topological spaces with involution; level; colevel; sublevel; affine varieties; Hopf problem; equivariant maps; Stiefel manifolds; Borsuk-Ulam theorem; topology of spheres; arithmetic of sums of squares in rings; quadratic forms; Pythagoras number; invariants; Radon-Hurwitz number; isotropic form; ring of continuous functions; anisotropic form Dai Z.D., Lam T.Y.: Levels in algebra and topology. Comment. Math. Helv. 59, 376--424 (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) Tarski-Seidenberg principle; ordered fields; algorithm computing a quantifier free formula; real closed field; parallel complexity; sequential complexity Heintz J., Roy, M.-F., Solernó P.: Complexité du principe de Tarski-Seidenberg. CRAS, t. 309, Série I, Paris 1989, pp. 825-830 | 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) Singlarity theory; semialgebraic sets; Artin's approximation theorem; finite determinacy; weighted homogeneous singularities; plane curve singularities; resolution of surface singularities A. Dimca, \textit{Topics on real and complex singularities: an introduction}, Advanced Lectures in Mathematics. Friedr. Vieweg & Sohn, Germany (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) topological type of a non-singular curve; Hilbert's 16-th problem Arnon, D. S.; Mccallum, S.: A polynomial-tlme algorithm for the topological type of a real algebraic curve - extended abstract. Rocky mountain J. Math. 14, 849-852 (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) invariant theory; locally nilpotent derivation; additive group action; Hilbert's fourteenth problem; cable algebra | 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 spectrum; sums of powers; totally Archimedean ring; Schmüdgen's Positivstellensatz | 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 Hodge theory; \(L\)-values; \(L\)-functions of motives; Euler systems; cyclotomic units; elliptic units; Gauß sums; Heegner points; Beilinson's conjectures | 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 inequalities; Minkowski's inequality; positive polynomials; sums of squares Frenkel, P. E.; Horváth, P.: Minkowski's inequality and sums of squares. Cent. eur. J. math. 12, No. 3, 510-516 (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) sixteenth Hilbert problem; real algebraic curve; patchwork; tropical geometry; idempotent mathematics , \textit{From the sixteenth Hilbert problem to tropical geometry}, Jpn. J. Math. 3 (2008), no. 2, 185--214. | 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 Galois problem; canonical form; linear automorphisms; monomial automorphisms; fields of rational functions; survey Hajja, M.: Linear and monomial automorphisms of fields of rational functions: some elementary issues, Algebra and number theory (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) hyperbolic fibre space; higher dimensional analogue of Mordell's conjecture for curves; hyperbolic manifolds; algebraic families of hyperbolic varieties; Mordell's conjecture over function fields Noguchi, J.Hyperbolic fiber spaces and Mordell's conjecture over function fields, Publ. Research Institute Math. Sciences Kyoto University21, No. 1 (1985), 27--46. | 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 curves; Kadomtsev-Petviashvili equations; Schottky's problem; symmetric Riemann surfaces | 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) Brauer groups of fields of invariants; Galois cohomology; Artin-Mumford group of the field of rational functions Bogomolov F.A., Brauer groups of fields of invariants of algebraic groups, Math. USSR-Sb., 1990, 66(1), 285--299 | 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; elliptic curve; Mazur's conjecture; diophantine definition B. Poonen, ''Hilbert's Tenth Problem and Mazur's Conjecture for Large Subrings of \(\mathbb{Q}\),'' J. Am. Math. Soc. 16(4), 981--990 (2003). | 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) existence of positive real zeros; existence of global minimizers; multivariate Descartes' rule of signs; coercive polynomial; Birch's theorem | 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) 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 |
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) 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 |
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) set containment; SOS-convex polynomials; sums of squares polynomials; convex semialgebraic sets Jeyakumar, V; Lee, GM; Lee, JH, Sums of squares characterizations of containment of convex semialgebraic sets, Pac. J. Optim., 12, 29-42, (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) Hilbert's irreducibility theorem; Kummer theory; Chebotarev density theorems; abelian varieties; Campana's conjectures; Lang's conjectures; rational points; ramified covers | 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 relaxations; multivariate Bernstein approximation; positive polynomial; semidefinite programming; Positivstellensatz; preordering; quadratic module | 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) difference field; abelian variety; theory ACFA; group definable in a model; model theoretic stability; 1-basedness; Manin-Mumford conjecture; model companion of the theory of fields with an automorphism Z. Chatzidakis, ''Groups definable in ACFA,'' in Algebraic Model Theory, Dordrecht: Kluwer Acad. Publ., 1997, vol. 496, pp. 25-52. | 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) semigroup of integral points; convex body; graded algebra; Hilbert function; Hodge index theory; mixed volume; Alexandrov-Fenchel inequality; Bernstein-Kushnirenko theorem; Cartier divisor; linear series Kaveh, K. and Khovanskii, A., Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory, \textit{Ann. of Math. (2)}176 ( 2012), no. 2, 925- 978. | 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) monodromy theory; isolated singularities; critical points; Picard-Lefschetz theory; Gauss-Manin connection; Picard-Fuchs systems; oscillating integrals; abelian integrals; Hodge structures; period mappings; regular and irregular singularities; Riemann-Hilbert problem; isomonodromic deformations; holomorphic foliations; differential Galois theory; hypergeometric functions \.Zoł\polhk adek, Henryk, The monodromy group, Instytut Matematyczny Polskiej Akademii Nauk. Monografie Matematyczne (New Series) [Mathematics Institute of the Polish Academy of Sciences. Mathematical Monographs (New Series)] 67, xii+580 pp., (2006), Birkhäuser Verlag, Basel | 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) geometry of differential equations; higher \(K\)-theory; Hodge theory; Abel's differential equations; deformation; algebraic cycles Green, M. L.; Griffiths, P. A., Abel's differential equations, Houston J. Math., 28, 329-351, (2002) | 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) Convergent power series rings; Artin approximation theory; excellent rings; Weierstrass system of \(k\)-algebras | 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 scheme of points in the plane; Chern-Simons theory Hiraku Nakajima, Refined Chern-Simons theory and Hilbert schemes of points on the plane, Perspectives in representation theory, Contemp. Math., vol. 610, Amer. Math. Soc., Providence, RI, 2014, pp. 305 -- 331. | 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) semialgebraic sets over p-adic fields; curve selection lemma; dimension theory of semialgebraic sets Scowcroft, P; Dries, L, On the structure of semialgebraic sets over \(p\)-adic fields, J. Symb. Logic, 53, 1138-1164, (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) etale Galois coverings; normalization; cohomology; Artin-Schreier coverings; Gorenstein scheme; minimal resolution of singularities | 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; Positivstellensatz; parametrization; homogeneous Nullstellensatz González-Vega, L.; Lombardi, H.: Smooth parametrizations for several cases of the positivstellensatz. Math. Z. 225, No. 3, 427-451 (1997) | 0 |
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