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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) Iwasawa theory of totally real number fields; covering of algebraic curves over a finite field; Drinfel'd modules; Picard group; L-series David Goss, The theory of totally real function fields, Applications of algebraic \?-theory to algebraic geometry and number theory, Part I, II (Boulder, Colo., 1983) Contemp. Math., vol. 55, Amer. Math. Soc., Providence, RI, 1986, pp. 449 -- 477. | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) sums of squares; positive semidefinite polynomial; real algebraic curves; real algebraic surfaces; real spectrum C. Scheiderer, \textit{Sums of squares of regular functions on real algebraic varieties}, Trans. Amer. Math. Soc., 352 (1999), pp. 1039--1069. | 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) Lebesgue and Gaussian measures; semialgebraic sets; moment problem and sums of squares; semidefinite relaxations; convex optimization | 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 polynomials; Betti 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) Hilbert's fourteenth problem; algebra of subfinite type; graded linear series; Newton-Okounkov bodies | 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) integrability of vector fields; vanishing of \(p\)-torsion; separably closed fields; derivation; differential field; asymptotic theory; Grothedieck-Katz conjecture Navarro, J.A.: Álgebra conmutativa básica (2010). Downloadable from http://matematicas.unex.es/~navarro/ACB.pdf | 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) coverings of \(\mathbb{P}^ 1\); Galois groups; Hurwitz monodromy group; finite groups; Galois group of regular extension of \(\mathbb{Q}\); universal Frattini cover; rational point on varieties; regular realization problem on dihedral groups; real branch points; totally nonsplit extension; field of totally real numbers; fields of definition; inverse Galois problem; symmetric group; modular curves Dèbes, Pierre; Fried, Michael D., Nonrigid constructions in Galois theory, Pacific J. math., 163, 1, 81-122, (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) Hilbert 16th problem; Harnack inequality; real algebraic curves; number of ovals V. M. Kharlamov, S. Yu. Orevkov, and E. I. Shustin, Singularity which has no \?-smoothing, The Arnoldfest (Toronto, ON, 1997) Fields Inst. Commun., vol. 24, Amer. Math. Soc., Providence, RI, 1999, pp. 273 -- 309. | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) semidefinite programming; polynomial sum-of-squares; real algebraic geometry; problem of moments | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) ring of invariants of a linear group acting on a polynomial ring; symbolic blow-up; counterexample of Hilbert's 14-th problem Decker, W., Greuel, G.-M., Pfister, G., Schönemann, H.: Singular 3-1-6--a computer algebra system for polynomial computations. http://www.singular.uni-kl.de | 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) Pierre de Fermat; René Descartes; Leonhard Euler; affine space; barycenter; real affine space; Pasch's theorem; Euclidean space; metric space; Gram-Schmidt process; approximation by the law of least squares; Fourier approximation; Hermitian space; projective space; duality principle; Fano's theorem; projective quadric; Pascal's theorem; Brianchon's theorem; topology of projective real spaces; algebraic plane curves; Bezout's theorem; Hessian curve; Cramer's paradox; group of a cubic; rational algebraic plane curve; Taylor's formula for polynomials in one or more variables; Eisenstein's criterion; Euler's formula; fundamental theorem of algebra; Sylvester'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) computational complexity; algebraic geometry; irreducible polynomials; primitive polynomials; finite fields; polynomial factorization; distribution of primitive polynomials; construction of bases; algebraic number theory; computer science; coding theory; cryptography; factorization of bivariate polynomials; fast algorithms; discrete logarithm problem; fast exponentiation; polynomial multiplication; algebraic curves over finite fields; strengthening of the Weil-Serre bound; rational points; elliptic curves; distribution of primitive points; linear recurring sequences; automata; integer factorization; computational algebraic number theory; algebraic complexity theory; polynomials with integer coefficients 20.I. E. Shparlinski, \(Computational and algorithmic problems in finite fields\), Kluwer, Dordtrecht-Boston-London, 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) Hilbert 16th problem; topological types of real smooth algebraic surfaces of degree 4; period map of a K3 surface RISLER (J.-J.) . - Types topologique des surfaces algébriques réelles de degré 4 dans RP3 . Géométrie des surfaces K3. Modules et périodes, Astérisque, n^\circ 126, Paris, 1985 . MR 785232 | Zbl 0556.14005 | 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 analytic Eisenstein series; special values of Epstein zeta-functions; Damerell's theorem; \(p\)-adic theory of modular forms; \(p\)-adic \(L\)-functions Katz, NM, \(p\)-adic interpolation of real analytic Eisenstein series, Ann. Math., 104, 459-571, (1976) | 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) Chebyshev's property; hyperelliptic integrals of first kind; Hamiltonian of degree 7; Hilbert-Arnold problem | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Hilbert's 10th problem; algebraic integers; local-global principle; solvability of diophantine equations B. Green, F. Pop, P. Roquette, On Rumely's local-global principle. \textit{Jahresber. Deutsch. Math.-Verein}. \textbf{97} (1995), 43-74. MR1341772 Zbl 0857.11033 | 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 linear differential equations; \(p\)-adic \(L\)-functions; Gross-Koblitz formula; Dwork's cohomology theory; Bessel functions; deformation equation; eigenvalues; twisted Kloosterman sums; Frobenius map; growth of solutions; Gauss sums; Boyarski principle; p-adic gamma function Adolphson, A.; Sperber, S., \textit{twisted Kloosterman sums and} p\textit{-adic Bessel functions}, American Journal of Mathematics, 106, 549-591, (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) specialization of Galois extensions; function fields; Chebotarev property; Hilbert's irreducibility theorem; local and global fields Checcoli, S.; Dèbes, P.: Tchebotarev theorems for function fields. (2013) | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Hilbert's 14th problem; finite fields Totaro B.: Hilbert's fourteenth problem over finite fields, and a conjecture on the cone of curves. Compos. Math. 144(5), 1176--1198 (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) sum of squares; real closed field; Nullstellensätze; Positivstellensätze; Pythagoras numbers 10. O. SIMON, Aspects quantitatifs de Nullstellensätze et de Positivstellensätze. Nombres de Pythagore, Communications in Algebra, 1989, 17, (3), p. 637-667. Zbl0668.14001 MR981475 | 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 Parshin, A. N., No article title, Proc. Steklov Inst. Math., 165, 157-185, (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) reduced Whitehead groups; Tannaka-Artin problem; patching; \(\mathrm{SK}_1\); function fields of \(p\)-adic 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's 16th problem; numerical quintic surface; real complex surface; first Betti number; real Horikawa curves; Viro's method Bihan, F, Une quintique numérique réelle dont le premier nombre de Betti est maximal, C. R. Acad. Sci. Paris Sér. I Math., 329, 135-140, (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) real analytic geometry; analytic spaces; semianalytic spaces; C-analytic spaces; subanalytic spaces; Hilbert's 17 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) algebraic function fields of genus one; real-closed field; J-invariant | 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) once punctured torus; spectral theory of automorphic functions; Teichmüller's moduli problem; accessory parameters; 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) Vandiver conjecture; p-adic abelian L-functions; research survey; explicit reciprocity laws; cyclotomic fields; Jacobi sums; Iwasawa invariant; Iwasawa theory; Bernoulli numbers; Gauss sums; Stickelberger ideals; distribution; Bernoulli measure; analytic class number formula; p-adic analytic class number formula of Leopoldt; p-adic class group; Spiegelungssatz; Lubin-Tate formal groups; projective limit of local unit groups; cyclotomic units S.~Lang, \emph{Cyclotomic fields}, Springer-Verlag, New York-Heidelberg, 1978, Graduate Texts in Mathematics, Vol. 59. zbl 0395.12005; MR0485768 | 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) Certificates of positivity, sums of squares, nonnegative polynomials, real algebra, real algebraic geometry, positive semidefinite | 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; generalized cohomology theory; spectra; etale cohomology Dugger, Daniel; Isaksen, Daniel C., Etale homotopy and sums-of-squares formulas, Math. proc. Cambridge philos. soc., 145, 1-25, (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) symposium; proceedings; Kyoto (Japan); deformation of group schemes; Number theory; finite group schemes; Kummer-Artin-Schreier-Witt theory; Galois module structure; algebraic curves; Hopf 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) Newman's conjecture; zeros of the Riemann zeta function; \(L\)-functions; function fields; random matrix theory; Sato-Tate conjecture Andrade, J.; Chang, A.; Miller, S. J.: Newman's conjecture in various settings. J. number theory 144, 70-91 (2013) | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Hilbert's 14th problem; Cox rings; Mori dream spaces; rings of invariants A. Castravet and J. Tevelev, Hilbert's \(14\)th problem and Cox rings , Compositio Math. 142 (2006), 1479-1498. | 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; sums of squares; Nash functions; topology of real algebraic varieties; decidability; complexity; algebraic modelling; semialgebraic 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) fields of large transcendence degree; algebraic independence; zero lemmas; zero estimate for group varieties; primary ideal; polynomial rings; algebraic subgroups of products of elliptic curves; effective version of Hilbert's Nullstellensatz; Kolchin theorem; Weierstrass elliptic function Masser, D. W.; Wüstholz, G., Fields of large transcendence degree generated by values of elliptic functions, Invent. Math., 72, 3, 407-464, (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) curve with seminatural cohomology; smoothable curves; problem of maximal genus; Horace's method; Hilbert scheme of space 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) inverse Galois theory; Hilbertian fields; coverings; Beckmann-Black problem; pseudo-algebraically closed field Dèbes, Pierre Galois covers with prescribed fibers: the Beckmann-Black problem Ann. Scuola Norm. Sup. Pisa Cl. Sci.28 (1999) 273--286 Math Reviews MR1736229 | 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) curves and abelian varieties over finite fields; distribution of the trace of matrices; equidistribution; Frobenius operator; generalized Sato-Tate conjecture; Katz-Sarnak theory; random matrices; Weyl's integration formula | 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) characteristic number; Hilbert's 15th problem; enumeration of quadric; blowing up | 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) classification of surfaces; two-dimensional singularities; K3 surfaces; minimal model problem; Mori's theory Reid, M., Chapters on algebraic surfaces, \textit{Complex Algebraic Geometry}, Vol. 3 of \textit{IAS/Park City Math. Ser}, 3-159, (1997), Amer, Providence, RI | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) semi-algebraic topology over arbitrary real closed fields; real spectrum; semi-algebraic Borel-Moore homology; intersection theory Delfs, H.: Sheaf Theory and Borel-Moore Homology on Locally Semialgebraic Spaces. Lecture Notes in Mathematics, vol. 1484. Springer, Berlin (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) intersection cohomology; perverse sheaves; Verdier's duality; algebraic varieties; Riemann-Hilbert correspondence; representation theory of reductive algebraic groups Borel, A.: Introduction to middle intersection cohomology and perverse sheaves, Algebraic groups and their generalizations: classical methods (University Park, PA, 1991), Proc. Sympos. Pure Math., vol. 56. Am. Math. Soc., Providence, RI, 1994, pp. 25--52. MR MR1278699 (95h:55006) | 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 basis theorem; primary decomposition; structure theorem for finitely generated modules; dimension theory; field theory; going-down; affine algebras; Hilbert's Nullstellensatz; Noether's normalization theorem; principal ideal theorem; systems of parameters; Hilbert's syzygy theorem Sharp R.Y., in ''Commutative Algebra, Math. Sciences Research Inst. Publ. No. 15.'' pp 443-- (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) Siegel modular group; resolution of cusps; rational Hilbert modular surfaces; canonical maps; modular curves; intersection theory; moduli spaces; abelian varieties with real multiplication; Kummer surface Friedrich Hirzebruch and Gerard van der Geer, Lectures on Hilbert modular surfaces, Séminaire de Mathématiques Supérieures [Seminar on Higher Mathematics], vol. 77, Presses de l'Université de Montréal, Montreal, Que., 1981. Based on notes taken by W. Hausmann and F. J. Koll. | 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) noncommutative polynomial; optimization; sum of squares; semidefinite programming; moment problem; Hankel matrix; flat extension; Matlab toolbox; real algebraic geometry; free positivity I. Klep and J. Povh, \textit{Constrained trace-optimization of polynomials in freely noncommuting variables}, J. Global Optim., 64 (2016), pp. 325--348. | 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) bifurcations of nonlinear equations in Banach spaces; singularity theory; cusp point; Bernard's problem Lupo, D.; Micheletti, A. M.: An application to bifurcation problems of cusps in Banach spaces. Differential integral equations 4, 1023-1040 (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) real closed fields; real algebraic geometry; Nash functions; orders on rings or field; semi-algebraic sets; real algebraic varieties; Nash varieties; theorem of Nash and Tognoli; Witt rings Bochnak, J.; Coste, M.; Roy, M.-F., Géométrie algébrique Réelle, (1987), 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) bilinear complexity; congruence function fields; descent of function fields; tensor rank; finite fields; Artin--Schreier extensions Ballet, Stéphane; Le Brigand, Dominique; Rolland, Robert, On an application of the definition field descent of a tower of function fields.Arithmetics, geometry, and coding theory (AGCT 2005), Sémin. Congr. 21, 187-203, (2010), Soc. Math. France, Paris | 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 variety; unit with negative norm; cyclotomic fields; cyclic fields; Hilbert modular group; arithmetical genus; number of elliptic fixed points; class number; totally real fields Keqin, F.: On arithmetic genus of Hilbert modular varieties on cyclic number fields. Sci. China 27, 576-584 (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) decidability; function field; analogue of Hilbert's tenth problem A. Shlapentokh, ''Diophantine undecidability of function fields of characteristic greater than 2 finitely generated over a field algebraic over a finite field,'' Comp. Math., 132, No.1, 99--120 (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) arithmetic theory of algebraic function fields; towers of function fields; Zink's bound; Hasse-Witt invariant; \(p\)-rank [2]A. Bassa and P. Beelen, The Hasse--Witt invariant in some towers of function fields over finite fields, Bull. Brazil. Math. Soc. 41 (2010), 567--582. | 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) \(M\)-curve; real algebraic plane curve; 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) Floer cohomology; mirror symmetry; toric manifold; open-closed Gromov-Witten invariant; Saito's theory of singularities, Landau-Ginzburg model; weakly unobstructed Lagrangian submanifold; potential function; Jacobian ring; Frobenius manifold Fukaya, K., Oh, Y.-G., Ohta, H., Ono, K.: Lagrangian Floer theory and mirror symmetry on compact toric manifolds. Astérisque (376), vi+340 (2016). arXiv:1009.1648 | 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; Hilbert's 17th problem; real Nullstellensatz Ruiz, Jesús M., On the real spectrum of a ring of global analytic functions.Algèbre, Publ. Inst. Rech. Math. Rennes 1986, 84-95, (1986), Univ. Rennes I, Rennes | 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) \(L\)-function; Shimura variety; Hilbert-Blumenthal surface; Tate's conjectures for abelian fields; group of algebraic cycles; intersection cohomology; canonical intermediate-perversity extension; Hirzebruch- Zagier cycles; Tate class Gordon, B. B.: Algebraic cycles in families of abelian varieties over Hilbert -- blumenthal surfaces. J. reine angew. Math. 449, 149-171 (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) Noether's problem; meta-abelian group; rational extension of fields; regular action; invariant field; Galois embedding problem I. Michailov, Noether's problem for some groups of order 16n, Acta Arith. 143 (2010), 277\ 290. | 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 analytic manifold; Artin-Lang property; Hilbert 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) Hahn-Banach separation theorem; real closed field; \(\ast\)-algebra; group ring; sum of squares T. Netzer and A. Thom, Real closed separation theorems and applications to group algebras, Pacific J. Math. 263 (2013), no. 2, 435-452. | 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 sixteenth problem; construction of a real plane algebraical curve with prescribed; topology; small perturbations of singular points; construction of a real plane algebraical curve with prescribed topology Viro, O. Ya., \textit{gluing of plane real algebraic curves and constructions of curves of degrees 6 and 7}, Proc. int. conf. on topology, general and algebraic topology, and applications, Leningrad, 1982, 187-200, (1984), Springer, 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) Artin-Schreier curves; finite fields; distribution of number of points; distribution of zeroes of \(L\)-functions of 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) projective plane curves; plane curve singularities; nodes; cusps; homogeneous zero-dimensional singularities; fat points; infinitely near points; cluster schemes, constellations; Noether's formula, Newton diagrams; conductor scheme; normalization; Hilbert functor; global deformation theory; equisingular families; equisingular deformations with section; simultaneous deformations; Hilbert-Samuel polynomial; multiplicity; polar curves; dual curves; Hesse problem; Gordan-Noether theorem; joint versal deformations; resolution; blowing up; patchworking construction; hypersurfaces; Horace method; Castelnuovo function; vanishing criteria; toric geometry; tropical 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) bidisk; Christofffel-Darboux; sums of squares; Fejér-Riesz; orthogonal polynomials; distinguished varieties; Pick interpolation; Ando's inequality; Bernstein-Szegő measures; torus; stable polynomials G. Knese, ''Polynomials with no zeros on the bidisk,'' Anal. PDE, vol. 3, iss. 2, pp. 109-149, 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) Merkurev-Seislin theorem; Quillen-Lichtenbaum conjectures; algebraic K- theory of fields; Brauer-Severi varieties; Milnor K-groups; Bloch's group; Chow groups A. A. Suslin, ''Algebraic \(K\)-theory of fields,'' in Proceedings of the International Congress of Mathematicians, Vol. 1, 2, Providence, RI, 1987, pp. 222-244. | 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; finite generation of subalgebras | 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 rings of function fields; real analytic manifold; second residue class homomorphism; Artin-Lang property; Witt group of the ring of real analytic functions | 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; positivity; quadratic modules; semiorderings; real algebraic geometry C. Scheiderer, \textit{Distinguished representations of non-negative polynomials,} J. Algebra, 289 (2005), pp. 558--573. | 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) smoothing of curve singularity; Hilbert's 16th problem; classification of \(M\)-schemes | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) real closed field; sum of sequences; quadratic module; preordering; Positivstellensat; real spectrum; moment problem; semi-definite programming M. Marshall, \textit{Positive Polynomials and Sums of Squares}, Math. Surveys Monogr. 146, American Mathematical Society, Providence, RI, 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) Artin-Schreier covering; moduli spaces of hyperelliptic curves; Kloosterman sums; number of rational points N. M. Glazunov, ''On moduli spaces, equidistributions, estimates, and rational points of algebraic curves,'' Ukr. Math. J., 53, No. 9, 1407--1418 (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) \(M\)-curves; curve with the maximal number of connected components; Harnack's bound; Gudkov's conjecture; Hilbert's sixteenth problem; Rokhlin's formula A. I. Degtyarev and V. M. Kharlamov, ''Topological Properties of Real Algebraic Varieties: Du côté de chez Rokhlin,'' Usp. Mat. Nauk 55(4), 129--212 (2000) [Russ. Math. Surv. 55, 735--814 (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) real-closed local rings; germs of Nash functions; geometric theory; factorization system; infinitesimal stability; strictly local rings; Henselian local rings Robinson, E.: Stable theories of local rings. Category theoretic methods in geometry 35 (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) rational sums of squares; certificates of positivity; Schmüdgen's theorem; Putinar'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) sum of squares; Artin's approximation Fernando J.F. and Ruiz J.M. (2005). On the Pythagoras numbers of real analytic set germs. Bull. Soc. Math. France 133: 349--362 | 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; Newton polygon; real plane curve singularity; M- 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) exceptional polynomials; inverse Galois problem; Carlitz's conjecture; general exceptional covers; nonsingular projective algebraic curves; Schur covers; monodromy pair; modular curves over finite fields; fiber products; curves of high genus M. D. Fried, \textit{Global construction of general exceptional covers}, in Finite Fields: Theory, Applications, and Algorithms, Contemp. Math. 168, G. L. Mullen and P. J. Shiue, eds., AMS, Providence, RI, 1994, pp. 69--100. | 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) \texttt{Maxima} computer algebra system; \texttt{SARAG} library; algorithms over real closed fields; real root counting of univariate polynomials; real root isolation; sign determination; decision of topology of real plane curve over Archimedean real closed field Caruso, F.: The SARAG library. In: Proceedings of the ICMS '06. Springer, Berlin (2006). Stable version included in maxima: http://maxima.sourceforge.net/, last version online at http://perso.univ-rennes1.fr/marie-francoise.roy/bpr-posted1.html | 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 rings; first order axiomatization; language of rings; language of partially ordered rings; von Neumann regular rings; model companion; radical relation; real closed domains Alexander Prestel and Niels Schwartz, Model theory of real closed rings, Valuation theory and its applications, Vol. I (Saskatoon, SK, 1999), Fields Inst. Commun., vol. 32, Amer. Math. Soc., Providence, RI, 2002, pp. 261-290. | 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) Italian mathematics; Proceedings; Milano/Italia; Gargnano del Garda/Italia; probability-theory; algebra; analysis; didactics; historiography; theory of relativity; Hungarian-Italian contacts; Fascism. Peano; mathematical logic; Francesco Cantelli; Bruno di Finetti; Guido Castelnuovo; algebraic geometry; modern algebra; stability-problem; T. Levi-Civita; V. Volterra; functional analysis; Giuseppe Vitali; Beppo Levi; Tullio Viola; Leonida Tonelli; theoretical physics | 0 |
Hilbert's seventeenth problem; Artin-Schreier theory; constructive mathematics; sums of squares; real fields; ordered fields; real closed fields; dynamic evaluation Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) semi-algebraicity of definable subsets; non-archimedean real closed field; valuation fields L. Bröcker, On the reduction of semialgebraic sets by real valuations, in: ``Recent advances in real algebraic geometry and quadratic forms'', Contemp. Math., 155, Amer. Math. Soc., Providence, RI, 1994, pp. 75-95. Zbl0826.14038 MR1260702 | 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; finite field of constants; Severi's algebraic theory of correspondences; Hurwitz's transcendental theory; group of divisor classes; Riemann hypothesis for function fields; action of Galois group André Weil, Sur les fonctions algébriques à corps de constantes fini, C. R. Acad. Sci. Paris 210 (1940), 592 -- 594 (French). | 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) connected components of semialgebraic set; quantifier elimination; decidability algorithms; real closed fields J. Canny, D. Yu. Grigor\(^{\prime}\)ev, and N. N. Vorobjov Jr., Finding connected components of a semialgebraic set in subexponential time, Appl. Algebra Engrg. Comm. Comput. 2 (1992), no. 4, 217 -- 238. | 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 curves; enumerative problems; Zeuthen's problem; stick figures R. Hartshorne, Families of Curves in \(\mathbb P^3\) and Zeuthen's Problem, 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) Artin-Schreier theory; Kummer theory; deformations of Witt groups to tori Sekiguchi, Tsutomu: On the deformations of Witt groups to tori, II. J. of algebra 138, 273-297 (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) anabelian geometry; pro-\(\ell \) groups; Galois theory; function fields; valuations theory; (Riemann) space of prime divisors; Hilbert decomposition theory; Parshin chains; decomposition graphs Pop, F., Recovering function fields from their decomposition graphs, 519-594, (2012), New York | 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) ordered groups; convex subgroups; valuation rings; Henselian domain; schemes of finite presentation; ultraproducts; Greenberg's strong approximation theorem; closed image theorem; infinitesimal Hasse principle; closed image map Moret-Bailly, L.: An extension of Greenberg's theorem to general valuation rings, Manuscripta math. 139, 153-166 (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) textbook; partially ordered sets; Zorn's lemma; number theory; fields; rings; abelian groups; polynomials; field extension; formal power series; polynomial rings; finite fields; power series; rational function; Bernoulli numbers; Puiseux series; Laurent series; ideals; quotient rings; factorization; Noetherian rings; prime ideals; principal ideal domains; cyclic groups; homomorphism; group action; quotient group; symmetric group; semidirect product; Sylow group; modules; free modules; commutative ring; Smith normal form; elementary divisor; Jordan form; Hermitian space; projective space; bilinear form; symplectic space; quadratic form; Kähler triples; quaternions; spinors | 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 algebraic curves; positive polynomials D. Plaumann, Sums of squares on reducible real curves. \textit{Math. Z}. \textbf{265} (2010), 777-797. MR2652535 Zbl 1205.14074 | 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; Witt functor; Witt equivalence; real closed field; function field of a curve; Scharlau transfer; Scharlau's norm principle; Knebusch-Milnor exact sequence; real holomorphy ring | 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; semi-algebraic set; \(K\)-moment problem Kuhlmann, S., Marshall, M.: Positivity, sums of squares and the multi-dimensional moment problem. Trans. Am. Math. Soc. \textbf{354}(11), 4285-4301 (2002) \textbf{(electronic)} | 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) towers of function fields; asymptotically good towers; Drinfeld-Vladut bound; Artin-Schreier extension; long algebraic-geometric codes with good parameters García, A.; Stichtenoth, H., On the asymptotic behaviour of some towers of function fields over finite fields, J. Number Theory, 61, 248-273, (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) fast algorithms; sequential algorithms; parallel algorithms; real-closed fields; algebraically closed fields; elementary theory FITCHAS (N.) , GALLIGO (A.) , MORGENSTERN (J.) . - Algorithmes rapides en séquentiel et en parallèle pour l'élimination des quantificateurs en géométrie élémentaire , Séminaire Structures Ordonnées, U.E.R. de Math. Univ. Paris VII, 1987 . Version finale à paraître aux Publications de l'Université de Paris VII ( 1990 ). Zbl 0704.03014 | 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 theorem; positive semi-definite; ternary quartic forms; sum of squares; ladder technique | 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) Ordered fields; Real algebraic geometry; Algebraic geometry; Conference; Boulder/Colorado; University of Colorado | 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 L-functions; CM fields; totally complex quadratic extension of a totally real field; Grössencharacter; p-adic measure; p-adic interpolation of Hecke L-function; functional equation; non-analytic Eisenstein series; Hilbert modular group; p-adic differential operators; p-adic Eisenstein series N.M. Katz, ''p-Adic L-functions for CM-fields,'' Invent. Math. 49(3), 199--297 (1978). | 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 integers; approximate equidistribution; Deligne's equidistribution theorem; Tate twist of Kloosterman sheaf; monodromy group; finite fields; number field; lattice; Minkowski embedding; Kloosterman sums; generalized Kloosterman sums in several variables Fisher, B., Kloosterman sums as algebraic integers, Math. Ann., 301, 1, 485-505, (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) artinian algebras; thick points; noncommutative deformations; deformation functor; versal deformation; moduli suite; extensions; simple modules; phase space functor; Hochschild cohomology; Massey products; representations of associative algebras; Toy model; blow-ups; desingularizations, Hilbert schemes; Chern classes, Dirac derivation, de Rham complex; Jacobian conjecture; dynamical structure; swarms; metrics, gravitation; quantum gravitation; energy; Clifford algebras; Chern-Simons classes; Yang-Mills theory; heat equation; thermodynamics; Kepler laws; heat equation; Navier-Stokes equation; Schrödinger equation; Einstein field equation; entropy; cosmology; cosmological time; density of mass; inflation; cyclical cosmology; conformally trivial cosmological model; universe, observers; photons; red-shift; entanglement; consciousness; super symmetry bosonic fields; fermionic fields; gluons; quarks; charge; black energy; black mass | 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 curve; vector bundle; nonnegative polynomial; 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) bibliography; survey article; modular forms; automorphic forms; L-functions; representation theory of groups; Artin's conjecture; lifting | 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) dual curve; Plücker's formulas; algebraic families of cuspidal plane curves; Hilbert's 15th problem; 1-parameter families Kleiman S., Speiser R.,Enumerative geometry of cuspidal plane cubics. Volume 6 of CMS-AMS Conf., 1984, 227--268. | 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 Saugata Basu., Richard Pollack., Marie-Françoise Roy.: Algorithms in real algebraic geometry, volume 10 of Algorithms and Computation in Mathematics. Springer-Verlag, Berlin (2006) second edition | 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 surface; semi-algebraic set; sums of squares; preordering; positivstellensatz C. Scheiderer, Sums of squares on real algebraic surfaces. \textit{Manuscripta Math}. \textbf{119} (2006), 395-410. MR2223624 Zbl 1120.14047 | 0 |
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