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real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 graded rings; noncommutative geometry D. Rogalski and J. J. Zhang, Canonical maps to twisted rings, Mathematische Zeitschrift 259 (2008), 433--455.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 commutative algebra; integral domains; valuations; Hahn field; minimal ring extension; maximal subalgebra; algebraically closed field; birational geometry; spectrum of a ring
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Witt vectors; de Rham-Witt complex; perfectoid rings
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 \(\mathbb{Q}\)-Gorenstein local rings; \(\mathbb{Q}\)-divisor; log terminal singularities Takagi , S. , Watanabe , K.I. ( 2004 ). When does the subadditivity theorem for multiplier ideals hold?Trans. Amer. Math. Soc.356(10):3951--3961 (electronic) .
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 tropical curves; real rational curves; enumerative geometry; Welschinger invariants; Caporaso-Harris formula --------, Welschinger invariants of small non-toric del Pezzo surfaces, J. Europ. Math. Soc. 15 (2013), 539--594.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic curves; Kadomtsev-Petviashvili equations; Schottky's problem; symmetric Riemann surfaces
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 finite field; \(n\)-dimensional linear space; covering with cosets
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 existence of positive real zeros; existence of global minimizers; multivariate Descartes' rule of signs; coercive polynomial; Birch's theorem
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 finite fields; forms in many variables; hypersurface; nonsingular zero; polynomials
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 curves over finite fields; many rational points; computer program Roland Auer, Curves over finite fields with many rational points obtained by ray class field extensions, Algorithmic number theory (Leiden, 2000) Lecture Notes in Comput. Sci., vol. 1838, Springer, Berlin, 2000, pp. 127 -- 134.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 equivariant homology; weight filtration; real algebraic varieties; group action; additive invariants F. Priziac, Equivariant weight filtration for real algebraic varieties with action, J. Math. Soc. Japan (to appear).
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 theta divisor; principally polarized abelian varieties; Andreotti-Mayer loci; intermediate Jacobians; cubic threefolds; Chow ring; cohomology ring S. Grushevsky and K. Hulek, Geometry of theta divisors--A survey, A celebration of algebraic geometry, Clay Math. Proc. 18, American Mathematical Society, Providence (2013), 361-390.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Pfaffian quadratic singularity; theta-divisor of the Prym variety; singularities with tangent cone; Mumford singularities V. Kanev,Quadratic singularities of the Pfaffian theta divisor of a Prym variety, Math. Notes of the Ac. of Sc. of the USSR,31 (1982), 301--305.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 valuation ring; weakly unramified extension; separable field extension; flat algebra; flat morphism
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 discrete valuation ring; stable reductions of curves; rigid analysis Bosch, S.; Lütkebohmert, W., Stable reduction and uniformization of abelian varieties I, Math. Ann., 270, 349-379, (1985)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 non commutative algebraic geometry; surface; blow up; graded algebras of Gelfand-Kirillov dimension three; Abelian categories; Rees algebra; pseudo-compact rings; completion functors; derived categories; Del Pezzo surfaces; quantum version of projective three space M. Van~den Bergh, \emph{Blowing up of non-commutative smooth surfaces}, Mem. Amer. Math. Soc. \textbf{154} (2001), no.~734, x+140. \MR{1846352 (2002k:16057)}
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Lichtenbaum-Quillen conjecture; K-theory with coefficients; Atiyah- Hirzebruch spectral sequence; values of zeta-functions R. Thomason, The Lichtenbaum-Quillen conjecture for K/l[{\(\beta\)}-1], Proc. 1981 Conference at Univ. Western Ontario, to appear.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 tautological rings; moduli spaces of curves; Chow motives; twisted commutative algebras
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic geometry; real algebraic varieties; complexification; Smith's theory; Galois-Maximal varieties; algebraic cycles; real algebraic models; algebraic curves; algebraic surfaces; topology of algebraic varieties; regular maps; rational maps; singularities; algebraic approximation; Comessatti theorem; Rokhlin theorem; Nash conjecture; Hilbert's XVI problem; Cremona group; real fake planes
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 minimal model program; flips; Fano varieties; canonical ring
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 \(\phi \)-module; strict ring; Dieudonné-Manin theorem; Harder-Narasimhan filtration
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 swung surfaces; revolution surfaces; real and complex surfaces; rational parametrization; ultraquadrics Andradas, Carlos; Recio, Tomás; Sendra, J. Rafael; Tabera, Luis-Felipe; Villarino, Carlos: Reparametrizing swung surfaces over the reals, Appl. algebra eng. Commun. comput. 25, No. 1-2, 39-65 (2014)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 twisted homogeneous coordinate ring; torsion modules M. Artin and M. Van den Bergh, ''Twisted homogeneous coordinate rings,''J. Algebra,133, No. 2, 249--271 (1990).
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 sums of units; theorem of Picard-Borel; rational points; Hilbert's irreducibility theorem; finiteness of number of holomorphic mappings; quasiprojective spaces; de Franchis theorem
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 fibre product of Noetherian rings; prime ideals of a fibre product of rings; Noetherian schemes DOI: 10.1017/S0305004100062794
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Riemann surfaces with boundary; moduli space; KdV equations A. Buryak, \textit{Equivalence of the open KdV and the open Virasoro equations for the moduli space of Riemann surfaces with boundary}, arXiv:1409.3888 [INSPIRE].
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 monomial ideal; toric algebra; Hilbert scheme; local cohomology; multigraded polynomial rings E. Miller and B. Sturmfels, \textit{Combinatorial commutative algebra}, Graduate Texts in Mathematics volume 227, Springer, Germany (2005).
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 formally real field; regularly r-closed fields; pseudo-real closed fields; ordered fields; existentially closed; axiomatizable; irreducible variety; PRC-field Basarab, Serban A.: Definite functions on algebraic varieties over ordered fields. Rev. roumaine math. Pures appl. 29, 527-535 (1984)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic variety; reductive group; positive polynomial functions; quotient variety; Borel measure; moment problems J. Cimpric, S. Kuhlmann, and C. Scheiderer, \textit{Sums of squares and moment problems in equivariant situations}, Trans. Amer. Math. Soc., 361 (2009), pp. 735--765.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Lech problem; \(L\)-algebras; local rings
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 non-commutative crepant resolutions; Hibi rings; class groups
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Grothendieck ring; motivic zeta function Larsen, M.; Lunts, V. A., \textit{motivic measures and stable birational geometry}, Mosc. Math. J., 3, 85-95, (2003)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 regular sequence; monomial conjecture; local ring; Koszul homology; modules of generalized fractions; determinantal map; poor M-sequences; local cohomology; Lichtenbaum-Hartshorne theorem O'Carroll L, Generalized fractions, determinantal maps, and top cohomology modules, J. Pure Appl. Algebra 32(1) (1984) 59--70
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real polynomial solving; intrinsic complexity; singularities; polar and bipolar varieties; degree of varieties B. Bank, M. Giusti, J. Heintz, L. Lehmann, and L. M. Pardo, \textit{Algorithms of intrinsic complexity for point searching in compact real singular hypersurfaces}, Found. Comput. Math. \textbf{12} (2012), no. 1, 75-122.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Galois representations; semi-stable pseudodeformation rings; Hodge-Tate weights
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 rings of differential operators; semisimple Lie algebras; gluing of categories DOI: 10.1017/S1474748002000154
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Beilinson-Flach; Stark units; iterated integrals; Hida-Rankin \(p\)-adic \(L\)-function
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 fundamental group; ovals; K3 surfaces; monodromy groups of smooth real plane curves of degree 6 I. Itenberg, Groups of monodromy of non-singular curves of degree 6, Real Analytic and Algebraic Geometry, Proceedings, Trento (Italy) 1992, Walter de Gruyter, (1995), 161--168.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 \(k\)-equivalence of algebraic varieties; Chow motives; Grothendieck ring of varieties; piecewise isomorphism of varieties; Calabi-Yau manifold Ivorra, F; Sebag, J, Géométrie algébrique par morceaux, \(K\)-équivalence et motifs, Enseign. Math. (2), 58, 375-403, (2012)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 semi-algebraic sets; real algebraic varieties; rational points; generalized Teichmüller space; moduli of compact Riemann surfaces; Fricke moduli Kyoji Saito: Algebraic Representation of the Teichmuller Spaces, The Grothendieck Theor of Dessins dnfants, Edited by L. Schneps, London Math. Soc. Lee. Note Ser. 200, Cambridge Univ. Press, 1994.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 excellent henselian normal local ring; Tate modules; exceptional fibre Draouil B and Douai J C, Sur l'arithmétique des anneaux locaux de dimension 2 et 3, J. Algebra 213 (1999) 499--512
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 test polynomial; automorphism; polynomial ring DOI: 10.1016/S0022-4049(98)00135-2
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Lattice polytopes; Cohen-Macaulay rings Batyrev, Victor V.: Lattice polytopes with a given h\ast-polynomial. Contemp. math. 423, 1-10 (2006)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 quadratic forms on modules over rings; braid group
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 invariant rings; general linear groups; actions; traces; coordinate rings Zubkov, A.N.: On a generalization of the Razmyslov--Procesi theorem. Algebra Logic 35(4), 241--254 (1996)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 linear systems of forms; indeterminate Jacobian; Jacobian with irregular dimension
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Artinian module; local cohomology; Noetherian ring
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real \(K\)-theory; exceptional Lie groups; flag manifolds; Atiyah-Hirzebruch spectral sequence; Witt groups; generalized cohomology Daisuke Kishimoto and Akihiro Ohsita, \?\?-theory of exceptional flag manifolds, Kyoto J. Math. 53 (2013), no. 3, 673 -- 692.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 algebraic \(K\)-theory; derived categories; sheaves with transfer Vladimir Voevodsky, ``Motivic cohomology groups are isomorphic to higher Chow groups in any characteristic'', Int. Math. Res. Not. (2002) no. 7, p. 351-355
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 rings; modules; limit theorems; probability theory
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic curve; pseudoholomorphic curve; \(M\)-curve; oval; isotopy Orevkov, S. Yu.: Some examples of real algebraic and real pseudoholomorphic curves, Progr. math. 296, 355-387 (2012)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 difference field; abelian variety; theory ACFA; group definable in a model; model theoretic stability; 1-basedness; Manin-Mumford conjecture; model companion of the theory of fields with an automorphism Z. Chatzidakis, ''Groups definable in ACFA,'' in Algebraic Model Theory, Dordrecht: Kluwer Acad. Publ., 1997, vol. 496, pp. 25-52.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 algebraic cohomology; realizable by an algebraic subvariety; blow-up; blow-down; modification; real toric varieties
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real polynomials; Newton polytopes I. Itenberg and M. F. Roy, \textit{Multivariate Descartes' rule}, Beiträge zur Algebra und Geometrie \textbf{37} (1996), 337-346.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real Johnson-Wilson theories; Lubin-Tate spaces; topological modular forms; algebraic stacks; spectra; equivariant spectra
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 algebraic group schemes; non-reduced group schemes; minimal splitting fields; Galois groups; coordinate rings; groups of rational characters; maximal tori; connected unipotent groups; products of reductions
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic sets; algebraic cohomology classes; algebraic models Kucharz W.: Cycles on algebraic models of smooth manifolds. J. Eur. Math. Soc. (JEMS) 11, 393--405 (2009)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 noncommutative regular rings; cyclic quotient singularities; rational double points; rings of invariants; local dualities; dualizing complexes; Gorenstein singularities; Cohen-Macaulay singularities Chan, D.: Noncommutative rational double points. J. algebra 232, 725-766 (2000)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Poincaré series; local rings; finite fields
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 automorphisms of the ring of polynomials
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Kähler differents; sheaf of relative differentials; ramification points; birational morphism; exceptional locus; Dedekind different; reduced ramification index; dominating pair of regular local rings Zhao Hua Luo, Ramification divisor of regular schemes, Algebraic geometry and algebraic number theory (Tianjin, 1989 -- 1990) Nankai Ser. Pure Appl. Math. Theoret. Phys., vol. 3, World Sci. Publ., River Edge, NJ, 1992, pp. 77 -- 91.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 finite associative algebra; non-commutative algebra; rightsided unit; left-sided unit; local units; discrete logarithm problem; hidden logarithm problem; post-quantum cryptography; digital signature
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 pure ideals in a PF-ring; purely prime ideals; pure spectrum; PP-ring H. Al-Ezeh: The pure spectrum of a PF-ring, Commen. Math. Univer. Sancti Pauli. 37 (1988), 179-183.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 semialgebraic functions; semialgebraic subset; real closed field; Łojasiewicz set; Łojasiewicz exponent; real spectrum Fekak ( A. ) .- Interpretation algébrique de l'exposant de Łojasiewicz , Annales Polonici Mathematici, LVI, 2, 123 - 131 ( 1992 ). MR 1159983 | Zbl 0773.14027
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 tautological ring; moduli space of curves; orbifold stable maps 10.1090/proc/13344
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real analytic hypersurfaces; multiplicity; metric invariant Valette, Guillaume, Multiplicity mod 2 as a metric invariant, Discrete Comput. Geom., 43, 663-679, (2010)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 theta series; Siegel modular forms; graded rings of modular forms
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 cofinite module; cohomological dimension; ideal transform; local cohomology; Noetherian ring
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 quantum special linear groups; quantum matrix bialgebras; rings of quantum coinvariants; quantum Grassmannians; presentations; quantum Schubert varieties; coactions R. Fioresi and C. Hacon, Quantum coinvariant theory for the quantum special linear group and quantum Schubert varieties. J. Algebra 242 (2001), 433-446.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 toric varieties; toric real structures Delaunay, C.: Real structures on smooth compact toric surfaces. In: Goldman, R., Krasuaskas, R. (eds.) Topics in algebraic geometry and geometric modeling, Contemp. Math., vol. 334, pp 267--290. Providence, RI: Amer. Math. Soc. (2003)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 flag manifolds; cohomology ring; Grassmannian; quantum cohomology Molev, A.: Littlewood-Richardson problem for Schubert polynomials. Austral. math. Soc. gaz. 31, No. 5, 295-297 (2004)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Gorenstein algebras; unimodal \(h\)-sequences; Hilbert series; graded ring; linkage class of a complete intersection Beintema, M. B.: Gorenstein algebras with unimodal h-sequences. Comm. algebra 20, 979-997 (1992)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 \(p\)-adic valuation; Rédei functions; identities; Galois rings; formal group laws
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 abstract complete intersection; algebraic complete intersection; affine model; real curve
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Moduli spaces; curves with group action; inverse Galois theory Cadoret, A., Tamagawa, A.: Stratification of Hurwitz spaces by closed modular subvarieties. Pure Appl. Math. Q. 5, 227--253 (2009) (Special issue: in honor of Jean-Pierre Serre 2/2)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 complement of divisor with normal crossings; complex projective manifold; Einstein-Kähler metric; Chern classes Kobayashi, R., Kähler-Einstein metrics on an open algebraic manifold, Osaka J. Math., 21, 399-418, (1984)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 moduli problems of real algebraic geometry; Torelli mapping; principally polarized real abelian varieties Seppälä M., Math. Z. 201 pp 151-- (1989)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 blow-ups; Hirzebruch surfaces; quartics with a double line; normality
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 flat localizations of Abelian categories; structure presheaves of modules; quantized algebras; noncommutative schemes in categories; left spectrum; maximal left ideals; completely prime left ideals; categories of rings; Levitzki radical; quasi-affine schemes; projective spectra; quantized rings; quantum planes; algebra of \(q\)-differential operators; Weyl algebras; quantum envelopes; coordinate rings; generalized Weyl algebras; skew polynomial rings; Serre subcategories; Grothendieck categories; hyperbolic rings; skew PBW monads; monoidal category; Kac-Moody and Virasoro Lie algebras; semigroup-graded monads; Gabriel-Krull dimension Rosenberg, A.L.: Algebraic Geometry Representations of Quantized Algebras. Kluwer Academic Publishers, Dordrecht, Boston London (1995)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 ideal in polynomial ring; ideal in power series ring; Jacobian extension of the ideal; flag of subspaces; positive characteristic
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 cohomology ring; moment-angle complex; simplicial complex; Stanley-Reisner ring; simplicial wedge construction
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 polynomial ring; monomials; Veronese subrings; regularity of ideal; Gröbner basis; homogeneous Koszul algebras Fröberg, R.: Koszul algebras. In: Advances in commutative ring theory (Fez, 1997) Lecture Notes in Pure and Appl. Math., vol. 205, pp. 337-350. Dekker, New York (1999)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 chiral rings; mirror symmetry; toric varieties Mavlyutov, A. R.: On the chiral ring of Calabi-Yau hypersurfaces in toric varieties. Compositio Math., 138, 289--336 (2003)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 existence of moduli space for elliptic surface; global coarse moduli; genus; invariant theory; elliptic surfaces with a section W.K. Seiler : Global moduli for elliptic surfaces with a section , Comp. Math. 62 (1987) 169-185.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 ordinary elliptic curves; finite fields; endomorphism ring Bisson, G; Sutherland, AV, Computing the endomorphism ring of an ordinary elliptic curve over a finite field, J. Number Theory, 131, 815-831, (2011)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Convergent power series rings; Artin approximation theory; excellent rings; Weierstrass system of \(k\)-algebras
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 topological properties; real algebraic varieties; equivariant cohomologies; Albanese morphism; Brauer groups; cycle map
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Real curves; Gonality real gonality Ballico, Real curves with fixed gonality and empty real locus, Le Matematiche 60 pp 129-- (2005)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 CY3-folds with large complex structures; topological string theory on CY3s; topological 3-vertex formalism and beyond
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 2-adic valuations of ratio of products of factorials; parity of degrees of determinantal varieties; subspaces of real skew symmetric matrices; subspaces of real rectangular matrices; parity of number of plane partitions; parity of number of symplectic tableaux Beauville, A.: Surfaces algébriques complexes, Astérisque 54, Soc. Math. de France (1978)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 oriented; connected and compact surface of genus \(g\) with \(n\) boundary components; mapping class group; group of homology cobordism classes of homology cylinders Cha, JC; Friedl, S; Kim, T, The cobordism group of homology cylinders, Compos. Math., 147, 914-942, (2011)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 singularities; embedded resolutions; polyhedra; Hironaka's characteristic polyhedron; excellent rings; strong normalization; Hilbert-Samuel function; Hironaka schemes; standard bases
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real flag manifolds; symmetric group; root systems; Schubert cells; homology; height of roots; boundary coefficients
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 threefold with only quotient singularities; second Chern class; quotient of an abelian threefold; smooth Calabi-Yau threefolds Shepherd-Barron N.I., Wilson P.M.H.: Singular threefolds with numerically trivial first and second Chern classes. J. Alg. Geom. 3, 265--281 (1994)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 infinite group of skew symmetries; real algebraic hypersurfaces; projective space; collineations V. F. Ignatenko, ''On an infinite group of skew symmetries,''Izv. Vuzov. Mat., No. 3, 32--34 (1994).
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real divisor; Nakai-Moishezon criterion for ampleness of divisors [2] Frédéric Campana &aThomas Peternell, &Algebraicity of the ample cone of projective varieties&#xJ. Reine Angew. Math.407 (1990), p.~160-MR~10 | &Zbl~0728.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 toroidal singularity; polyhedral cones; string cohomology; Cohen-Macaulay rings; mirror symmetry; Calabi-Yau hypersurfaces Borisov, LA, String cohomology of a toroidal singularity, J. Algebraic Geom., 9, 289-300, (2000)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 graded ring; Buchsbaum module; Buchsbaum vector bundle; multiprojective space; Segre product; quasi-Buchsbaum Miyazaki, C., Buchsbaum criterion of Segre products of vector bundles on multiprojective space, J. Algebra, 467, 47-57, (2016)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 semisimple algebraic groups; connected semilocal rings; Tits indices; projective homogeneous varieties [83] Petrov V., Stavrova A., ''Tits indices over semilocal rings'', The Tits indices over semilocal rings, 16:1 (2011), 193--217
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real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 symmetric quivers of tame type; representations of quivers; rings of semi-invariants; actions of products of classical groups; Coxeter functors; Pfaffians; Schur modules; generic decompositions; bilinear forms
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