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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Brauer groups of schemes, Picard groups, Real algebraic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Yoshida, M, A hyperbolic structure on the real locus of the moduli space of marked cubic surfaces, Topology, 40, 469-473, (2001) Families, moduli, classification: algebraic theory, Real algebraic sets, Rational and ruled surfaces | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Putinar, M; Scheiderer, C, Quillen property of real algebraic varieties, Münster J. Math., 7, 671-696, (2014) Real algebra, Real algebraic sets, Subnormal operators, hyponormal operators, etc. | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Aroca (F.).- Tropical geometry for fields with a krull valuation: First defiintions and a small result. Boletin de la SMM, 3a Serie Volumen 16 Numero 1 (2010). Zbl1292.14041 Valuations and their generalizations for commutative rings | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Murray, M; Tim, N, Positivstellensätze for real function algebras, Math. Z., 270, 889-901, (2012) Real algebra, Semialgebraic sets and related spaces, Real algebraic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) L. Prelli, Sheaves on subanalytic sites, Rend. Semin. Mat. Univ. Padova, \textbf{120} (2008), 167-216. Local analytic geometry, Real algebraic sets, Solutions to PDEs in closed form, Complex singularities | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Novacoski, J., Spivakovsky, M.: Reduction of local uniformization to the rank one case. Valuation theory in interaction, EMS Ser. Congr. Rep., pp. 404-431 (2014) Valuations and their generalizations for commutative rings, Singularities of curves, local rings, Regular local rings | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Toric varieties, Newton polyhedra, Okounkov bodies, Algebraic topology of manifolds, Root systems, Real algebraic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Burési J., Mahé L.: Reducing inequalities with bounds. Math. Z. 227(2), 231--243 (1998) MR 98j:14073 Semialgebraic sets and related spaces, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Forms over real fields | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Quadratic forms over general fields, Forms over real fields, Algebraic theory of quadratic forms; Witt groups and rings, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Algebraic cycles | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Sums of squares and representations by other particular quadratic forms, Real algebra, Convex sets and cones of operators, Free algebras, Approximation by polynomials, Semialgebraic sets and related spaces | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Bochnak J., Kucharz W.: Elliptic curves and real algebraic morphisms. J. Algebraic Geom. 2, 635--666 (1993) Real algebraic sets, Elliptic curves, Rational and birational maps | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Itenberg, I; Kharlamov, V; Shustin, E, Welschinger invariants of real del Pezzo surfaces of degree \(\geq 2\), Int. J. Math., 26, 1550060, (2015) Enumerative problems (combinatorial problems) in algebraic geometry, Real algebraic sets, Rational and ruled surfaces, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Stepan Yu. Orevkov , '' Quasipositivity test via unitary representations of braid groups and its applications to real algebraic curves '', J. Knot Theory Ramifications 10 (2001) no. 7, p. 1005-1023 Braid groups; Artin groups, Real algebraic sets, Ordinary representations and characters | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Draisma, J., Horobet, E., Ottaviani, G., Sturmfels, B., Thomas, R.R.: The euclidean distance degree. In: Proceedings of the 2014 Symposium on Symbolic-Numeric Computation, pp. 9-16 (2014) Symbolic computation and algebraic computation, Real algebraic sets, Computational aspects of higher-dimensional varieties | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Kucharz W.: Homology classes of real algebraic sets. Ann. Inst. Fourier (Grenoble) 58, 989--1022 (2008) Topology of real algebraic varieties, Real algebraic sets, Algebraic cycles, Classical real and complex (co)homology in algebraic geometry | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) J.P. Dedieu and J.C. Yakoubsohn, Localisation d'une variété algébrique réelle par l'algorithme d'exclusion, C. R. Acad. Sci. (Paris) 312 (1991) 1013--1016, and to appear in AAECC. Real algebraic sets, Nonlinear algebraic or transcendental equations | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Muñuera C., Torres F.: The structure of algebras admitting well agreeing near weights. J. Pure Appl. Algebra 212(4), 910--918 (2008) Geometric methods (including applications of algebraic geometry) applied to coding theory, Valuations and their generalizations for commutative rings, Applications to coding theory and cryptography of arithmetic geometry | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Nash functions and manifolds | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Families, moduli of curves (algebraic), Stacks and moduli problems, Special divisors on curves (gonality, Brill-Noether theory), Enumerative problems (combinatorial problems) in algebraic geometry, Real algebraic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) SCHMID, J.:Eine Bemerkung zu den höheren Pythagoraszahlen reeller Körper, manuscripta math. 61, (1988)195--202 Forms over real fields, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebraic and real-analytic geometry | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Polynomials in real and complex fields: location of zeros (algebraic theorems), Real algebraic sets, Real polynomials: location of zeros, Solving polynomial systems; resultants, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Bertrand, B.; Bihan, F.; Sottile, F.: Polynomial systems with few real zeroes, Math. Z. 253, No. 2, 361-385 (2006) Real algebraic sets, Polynomials in real and complex fields: location of zeros (algebraic theorems) | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) J. Huisman, The underlying real algebraic structure of complex elliptic curves. Math. Ann.294 (1992), 19-35 Real algebraic sets, Elliptic curves | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Buser, P., Silhol, R.: Geodesics, periods and equations of real hyperelliptic curves. Duke Math. J. 108, 211--250 (2001) Compact Riemann surfaces and uniformization, Real algebraic sets, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Period matrices, variation of Hodge structure; degenerations | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Semialgebraic sets and related spaces, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebra, Real-analytic and semi-analytic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Collections of abstracts of lectures, Proceedings of conferences of miscellaneous specific interest, Model theory of ordered structures; o-minimality, Heights, Real-analytic and semi-analytic sets, Semi-analytic sets, subanalytic sets, and generalizations, Proceedings, conferences, collections, etc. pertaining to mathematical logic and foundations, Proceedings, conferences, collections, etc. pertaining to number theory, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Real algebraic sets, Continuity and differentiation questions, Integration of real functions of several variables: length, area, volume, General theory of ordinary differential operators | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) DOI: 10.1016/0022-4049(90)90071-O Model-theoretic algebra, Valuations and their generalizations for commutative rings, Quantifier elimination, model completeness, and related topics, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) W. Kucharz, Algebraic morphisms into rational real algebraic surfaces, J. Algebraic Geom. 8 (1999), 569-579. Zbl0973.14030 MR1689358 Real algebraic sets, Realizing cycles by submanifolds, Rational and unirational varieties, Birational geometry, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Real-analytic and semi-analytic sets, Plane and space curves | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebra, Semialgebraic sets and related spaces | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Kucharz, W.; Kurdyka, K., Some conjectures on continuous rational maps into spheres, Topol. Appl., 208, 17-29, (2016) Real algebraic sets, Topology of real algebraic varieties, Real rational functions | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) M. J. de la Puente, Real plane algebraic curves, Expo. Math. 20 (2002), no. 4, 291-314. Real algebraic sets, Plane and space curves, Topology of real algebraic varieties | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Enumerative problems (combinatorial problems) in algebraic geometry, Real algebraic sets, Applications of tropical geometry, Singularities of surfaces or higher-dimensional varieties, Combinatorial aspects of algebraic geometry, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) V. Kharlamov and F. Sottile, ''Maximally inflected real rational curves,'' Mosc. Math. J., vol. 3, iss. 3, pp. 947-987, 1199, 2003. Real algebraic sets, Grassmannians, Schubert varieties, flag manifolds, Enumerative problems (combinatorial problems) in algebraic geometry | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Semialgebraic sets and related spaces, Sums of squares and representations by other particular quadratic forms, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebra | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Gabber, O., Ramero, L.: Almost ring theory. Lecture Notes in Mathematics \textbf{1800}, Springer, Berlin (2003) Étale and flat extensions; Henselization; Artin approximation, General valuation theory for fields, Rigid analytic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra, Research exposition (monographs, survey articles) pertaining to commutative algebra, Valuations and their generalizations for commutative rings, Ramification problems in algebraic geometry | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Real-analytic and semi-analytic sets, Rational and birational maps | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) \beginbarticle \bauthor\binitsE. \bsnmMukhin, \bauthor\binitsE. \bsnmTarasov and \bauthor\binitsA. \bsnmVarchenko, \batitleSchubert calculus and representations of the general linear group, \bjtitleJ. Amer. Math. Soc. \bvolume22 (\byear2009), no. \bissue4, page 909-\blpage940. \endbarticle \OrigBibText E. Mukhin. E. Tarasov and A. Varchenko, Schubert calculus and representations of the general linear group, J. Amer. Math. Soc. 22 (2009) no. 4, 909-940. \endOrigBibText \bptokstructpyb \endbibitem Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Real algebraic sets, Exactly solvable models; Bethe ansatz | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Ferrarotti, M., Fortuna, E., Wilson, L.: Algebraic approximation preserving dimension. In: Annals of Mathematics Pura Applcations, Fourth series, vol. 196, no. 2, pp. 519-531 (2017) Semialgebraic sets and related spaces, Real algebraic sets, Real-analytic and semi-analytic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Rational points, Varieties over global fields, Real algebraic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Bernd Bank, Marc Giusti & Joos and Heintz, ``Generalized polar varieties: geometry and algorithms'', J. Complexity21 (2005) no. 4, p. 377-412 Real algebraic sets, Singularities in algebraic geometry, Computational aspects in algebraic geometry, Analysis of algorithms and problem complexity, Symbolic computation and algebraic computation | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) [13] Michel Vaquié, &Famille admissible de valuations et défaut d'une extension&#xJ. Algebra311 (2007) no. 2, p.~859Article | &MR~23 | &Zbl~1121. Valuations and their generalizations for commutative rings, Valued fields, Global theory and resolution of singularities (algebro-geometric aspects) | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Polynomials over commutative rings, Polynomials in number theory, Polynomials over finite fields, Polynomial rings and ideals; rings of integer-valued polynomials, Polynomials and finite commutative rings, Associative rings of fractions and localizations, Dimension theory, depth, related commutative rings (catenary, etc.), Dedekind, Prüfer, Krull and Mori rings and their generalizations, Valuations and their generalizations for commutative rings, General valuation theory for fields, Plane and space curves | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Fichou, G.: Loi de groupe sur la composante neutre de la jacobienne d'une courbe réelle de genre 2 ayant beaucoup de composantes réelles. Manuscripta math. 104, 459-466 (2001) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Special algebraic curves and curves of low genus, Real algebraic sets, Jacobians, Prym varieties | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Orevkov ( S.Yu. ) .- Arrangements of an \(M\)-quintic with respect to a conic which maximally intersects its odd branch , Algebra i Analiz 19 2007 p. 174 - 242 (Russian) English translation: St.-Petersbourg Math. J., 19, p. 625 - 674 ( 2008 ). MR 2381938 Real algebraic sets, Plane and space curves, Isotopy in differential topology, Algebraic topology on manifolds and differential topology | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) A. L. Chistov, ''Polynomial-time computation of the degree of algebraic varieties in zero characteristic and its applications,'' Zap. Nauchn. Semin. POMI, 258, 7--59 (1999). Computational aspects of higher-dimensional varieties, Real algebraic sets, Symbolic computation and algebraic computation | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Critical points of functions and mappings on manifolds, Real algebraic sets, Complete intersections | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Enumeration in graph theory, Topology of real algebraic varieties, Relations of low-dimensional topology with graph theory, Coverings of curves, fundamental group, Holomorphic functions of several complex variables | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Ludwig Bröcker, Minimale Erzeugung von Positivbereichen, Geom. Dedicata 16 (1984), no. 3, 335 -- 350 (German). Semialgebraic sets and related spaces, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Forms over real fields | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Novacoski, Josnei, Valuations centered at a two-dimensional regular local domain: infima and topologies. Valuation theory in interaction, EMS Ser. Congr. Rep., 389-403, (2014), Eur. Math. Soc., Zürich Valuations and their generalizations for commutative rings, Regular local rings, Singularities of curves, local rings | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) K. Kato, ''Vanishing cycles, ramification of valuations, and class field theory,'' Duke Math. J., vol. 55, iss. 3, pp. 629-659, 1987. Étale and other Grothendieck topologies and (co)homologies, Valuations and their generalizations for commutative rings, Class field theory; \(p\)-adic formal groups, Cycles and subschemes, Henselian rings, Valuation rings | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) 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 Semialgebraic sets and related spaces, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Non-Archimedean valued fields, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Valuation rings | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Semialgebraic sets and related spaces, Real-valued functions in general topology, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Chain conditions, finiteness conditions in commutative ring theory | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Delzell, C. N.: Non-existence of analytically varying solutions to Hilbert's 17th problem. Contemp. math. 155, No. 73, 107-117 (1994) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real-analytic and semi-analytic sets, Sums of squares and representations by other particular quadratic forms | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebra, Enumerative problems (combinatorial problems) in algebraic geometry, Real algebraic sets, Semialgebraic sets and related spaces, Topology of real algebraic varieties, Collections of abstracts of lectures | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Đinh, ST; Kurdyka, K.; Le Gal, O., Łojasiewicz inequality on non-compact domains and singularities at infinity, Int. J. Math., 24, 1350079, (2013) Real algebraic sets, Analytic subsets of affine space, Semi-analytic sets, subanalytic sets, and generalizations, Real-analytic manifolds, real-analytic spaces | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Computational real algebraic geometry, Real algebraic sets, Eigenvalues, singular values, and eigenvectors, Hermitian, skew-Hermitian, and related matrices | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Birbrair, Ann Fac Sci Toulouse Math (6) 8 pp 35-- (1999) Semialgebraic sets and related spaces, Graph representations (geometric and intersection representations, etc.), Real algebraic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Valuations and their generalizations for commutative rings, Singularities in algebraic geometry, Valuation rings, Positive characteristic ground fields in algebraic geometry | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) I. Itenberg, V. Kharlamov and E. Shustin, Welschinger invariants of real del Pezzo surfaces of degree \(### 3\), Math. Ann. 355 (2013), 849--878. Enumerative problems (combinatorial problems) in algebraic geometry, Real algebraic sets, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Fortuna, E.; Gianni, P.; Parenti, P.: Some constructions for real algebraic curves. Pubbl. dip. Mat. univ. Pisa, 1.285.1441 (2003) Real algebraic sets, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Symbolic computation and algebraic computation, Computational aspects of algebraic curves | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Chabert, J. -L.: Dérivées et différences divisées à valeurs entières. Acta arith. 63, 143-156 (1993) Polynomials (irreducibility, etc.), Polynomials, Ramification and extension theory, Valuations and their generalizations for commutative rings, Ramification problems in algebraic geometry, Polynomials over commutative rings | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Special algebraic curves and curves of low genus, Singularities of curves, local rings, Plane and space curves, Real algebraic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Semialgebraic sets and related spaces, Reflection and Coxeter groups (group-theoretic aspects) | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Small, A.: \textit{Algebraic minimal surfaces in }\({\mathbf{R}}^4\). Math. Scand. \textbf{94}(1), 109-124 (2004) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Real algebraic sets, Twistor theory, double fibrations (complex-analytic aspects), Other complex differential geometry | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Shustin, E.: Hyperbolic and minimal smoothings of singular points. Selecta math. Sov. 10, 19-25 (1991) Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Singularities of curves, local rings, Real algebraic sets, Hypersurfaces and algebraic geometry | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Projective analytic geometry, Real algebraic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Cossart, V.; Moreno-Socias, G.: Racines approchees, suites génératrices, suffisance des jets. Ann. fac. Sci. Toulouse math. (6) 14, No. 3, 353-394 (2005) Regular local rings, Singularities in algebraic geometry, Valuations and their generalizations for commutative rings, Singularities of curves, local rings | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Valuations and their generalizations for commutative rings, General valuation theory for fields, Global theory and resolution of singularities (algebro-geometric aspects) | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) V. Magron, D. Henrion, and J.-B. Lasserre, \textit{Semidefinite approximations of projections and polynomial images of semialgebraic sets}, SIAM J. Optim., 25 (2015), pp. 2143--2164, . Semialgebraic sets and related spaces, Sums of squares and representations by other particular quadratic forms, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Convex programming | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Semialgebraic sets and related spaces, Optimization problems in solid mechanics | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Fefferman, C., Narasimhan, R.: A local Bernstein inequality on real algebraic varieties. Math. Z. 223(4), 673--692 (1996) Real-analytic sets, complex Nash functions, Real algebraic sets, Semi-analytic sets, subanalytic sets, and generalizations, Banach spaces of continuous, differentiable or analytic functions | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Polynomials in real and complex fields: location of zeros (algebraic theorems), Relevant commutative algebra, Real algebraic and real-analytic geometry, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Natanzon S., Shapiro B. and Vainshtein A. (2002). Topological classification of generic real rational functions. J. Knot Theory Ramifications 11(7): 1063--1075 General low-dimensional topology, Riemann surfaces; Weierstrass points; gap sequences, Real algebraic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Semialgebraic sets and related spaces, Real algebraic sets, Convex sets in \(n\) dimensions (including convex hypersurfaces) | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Orevkov, S. Yu., Riemann existence theorem and construction of real algebraic curves, Ann. Fac. Sci. Toulouse, Math., Sér. 6, 12, 517-531, (2003) Real algebraic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) 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. Semialgebraic sets and related spaces, Analysis of algorithms and problem complexity, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Symbolic computation and algebraic computation, Quantifier elimination, model completeness, and related topics | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Galindo, C., Monserrat, F.: Finite families of plane valuations: value semigroup, graded algebra and Poincaré series. In: Zeta functions in algebra and geometry. Contemp. Math., vol. 566, pp. 189-212. Amer. Math. Soc., Providence (2012) Valuations and their generalizations for commutative rings, Singularities in algebraic geometry | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Computational aspects of algebraic curves, Numerical aspects of computer graphics, image analysis, and computational geometry | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Barucci, V.; D'Anna, M.; Fröberg, R., The apery algorithm for a plane singularity with two branches, Beiträge zur Algebra und Geometrie, 46, 1-18, (2005) Singularities of curves, local rings, Multiplicity theory and related topics, Valuations and their generalizations for commutative rings, Plane and space curves | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Topology of real algebraic varieties, Real algebraic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Topology of vector bundles and fiber bundles | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Novacoski, J; Spivakovsky, M, Reduction of local uniformization to the case of rank one valuations for rings with zero divisors, Michigan Math. J., 66, 277-293, (2017) Valuations and their generalizations for commutative rings, Global theory and resolution of singularities (algebro-geometric aspects) | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Parusiński, A., Szafraniec, Z.: On the Euler characteristic of fibres of real polynomial maps. Singularities Symposium--Łojasiewicz 70 (Kraków, 1996; Warsaw, 1996), Banach Center Publ. 44 Polish Acad. Sci., Warsaw (1998), 175--182 (1998) Topology of real algebraic varieties, Topological properties in algebraic geometry, Real algebraic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Blekherman, G.; Sinn, R.; Velasco, M., Do sums of squares dream of free resolutions?, SIAM J. Appl. Algebra Geom., 1, 175-199, (2017) Real algebraic sets, Syzygies, resolutions, complexes and commutative rings, General convexity, Graphs and linear algebra (matrices, eigenvalues, etc.) | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Secant varieties, tensor rank, varieties of sums of powers, Real algebraic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) C. Scheiderer, \textit{Convex hulls of curves of genus one}, Adv. Math., 228 (2011), pp. 2606--2622. Real algebraic sets, Elliptic curves, Plane and space curves, Semidefinite programming | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Nonconvex programming, global optimization, Semidefinite programming, Computational real algebraic geometry, Real algebraic sets, Linear programming, History of operations research and mathematical programming, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), Applications of mathematical programming | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) --------, On Welschinger invariants of descendant type, in Singularities and computer algebra, Springer, Berlin, 2017. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Families, moduli of curves (algebraic), Rational and ruled surfaces, Real algebraic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) A. V. Loboda, ''Affinely Homogeneous Real Hypersurfaces in \(\mathbb{C}\)2,'' Funkts. Analiz i ego Prilozh. (in press). Real submanifolds in complex manifolds, Real algebraic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Automorphisms of surfaces and higher-dimensional varieties, Real algebraic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, History of algebraic geometry, Development of contemporary mathematics | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Compact Lie groups of differentiable transformations | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) D. Plaumann, Sums of squares on reducible real curves. \textit{Math. Z}. \textbf{265} (2010), 777-797. MR2652535 Zbl 1205.14074 Real algebraic and real-analytic geometry, Sums of squares and representations by other particular quadratic forms, Real algebra, Curves in algebraic geometry, Real algebraic sets | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Witt groups of rings, Real algebraic sets, \(4\)-folds | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Relevant commutative algebra, Effectivity, complexity and computational aspects of algebraic geometry | 0 |
DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Real algebraic sets, Topology of real algebraic varieties, Low codimension problems in algebraic geometry | 0 |
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