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real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 two-row Springer fibers; real Springer fibers; odd arc algebras; oddified cohomology ring; odd topological quantum field theory
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 singular modular surface; divisor; moduli space for abelian surfaces with real multiplication; Hilbert-Blumenthal surfaces; positive characteristic; non-ordinary locus Bachmat, E.; Goren, E. Z., \textit{on the non-ordinary locus in Hilbert-blumenthal surfaces}, Math. Ann., 313, 475-506, (1999)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 quadratic form; excellent ring; henselization; ring of analytic functions; semi-algebraic subset; semianalytic sets; constructible subsets of real spectra; real spaces; spaces of signs; spaces of orderings; fan Andradas, C.; Bröcker, L.; Ruiz, J.-M., \textit{Constructible Sets in Real Geometry}, 33, (1996), Springer-Verlag, Berlin
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 representations of real reductive groups; rings of differential operators; Harish-Chandra modules; mixed perverse sheaves; Kazhdan- Lusztig algorithm; Jantzen's filtration A. A. Beilinson ''Localization of Representations of Reductive Lie Algebras,'' in Proc. IMC (Warsaw, 1983) (PWN, Warsaw, 1984), pp. 699--710.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic curves; Klein surfaces with boundary; Euclidean crystallographic groups
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 flat dimension of ring of germs of \(C^ r\)-functions; semialgebraic functions; real polynomial ring
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Gorenstein ring; projective dimension; Gorenstein dimension; local rings L. L. Avramov, Infinite free resolutions, Six lectures on commutative algebra (Bellaterra, 1996), \textit{Progr. Math.}, \textbf{166} (1998), Birkhäuser, Basel, 1-118.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Hermitian lattice; order in quadratic field; isogeny class; polarization; curves with many points over finite fields; Siegel modular form; theta constant; theta null point; algorithm; Igusa modular form; Serre's obstruction; Schottky locus
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 almost complex manifold with anti-holomorphic involution; flexible curve; cyclic branched covering; real membranes and homology classes of covering; real algebraic curve on surface
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 *-orderings; valutions; rings with involution I. Klep, On valuations, places and graded rings associated to \ast -orderings, Canad. Math. Bull., in press
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 hyperbolic triangle group; trace field; quaternion algebra; split real place; arithmetic dimension; conjugate triangle; computer algorithm
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Grothendieck ring for varieties with group actions; motivic zeta-functions; \(K\)-theory; Picard bundle; equivariant bundles; Weil conjectures; invariant theory
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real vector bundles; freeness of projective modules over polynomial rings [BIOS] Bhatwadekar S. M., Ischebeck F., Ojanguren M., Schbhüser G.,Strongly algebraic vector bundles over \(\mathbb{R}\) d . In Real Analytic and Algebraic Geometry. Springer LN 1420, 1990.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 representations of a dicrete group in \(SL_ 2({\mathbb{C}})\); actions on generalized trees; hyperbolic structures on surfaces; varieties of group representations; compactification of Teichmüller space; compactifications of real and complex algebraic varieties; affine algebraic set; valuations of the coordinate ring J. Morgan, P. Shalen. Valuations, trees, and degenerations of hyperbolic structures. I, \textit{Ann. of Math. } 120 (1984), 401--476.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 regular morphism of noetherian rings; completion of an excellent henselian factorial local ring; approximation on nested subrings Popescu, D., General Néron desingularization and approximation, Nagoya Math. J., 104, 85-115, (1986)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Laurent polynomial rings; syzygies; valuation ring; constructive mathematics; Prüfer ring; computer algebra
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 finite fields; polynomials; curves with many points Lenstra, H. W., On a problem of garcia, stichtenoth, and Thomas, Finite Fields Appl., 8, 166-170, (2002)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 complete intersection; analytic spread; linkage; Cohen-Macaulay local rings; Gorenstein normal local ring; factorial Huneke C., J. London Math. Soc 32 pp 19-- (1985)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 binary field with many rational places; global function field Niederreiter, H., Xing, C.P.: Explicit global function fields over the binary field with many rational places. Acta Arithm.~75, 383--396 (1996)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic geometry; rational function field; real valuation rings; semi-algebraic geometry
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 spec; completion of an excellent local ring; real spectrum; local cones; real valuations in excellent domains Jesús M. Ruiz, Cônes locaux et complétions, C. R. Acad. Sci. Paris Sér. I Math. 302 (1986), no. 2, 67 -- 69 (French, with English summary).
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Witt ring; \(K\)-theory of real spectra Brumfiel, The real spectrum of an ideal and \(K{\mathrm O}\) -theory exact sequences, K-Theory 1 pp 211-- (1987)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 semi-algebraic space; real spectrum; real algebraic geometry; Witt-rings Manfred Knebusch, An invitation to real spectra, Quadratic and Hermitian forms (Hamilton, Ont., 1983) CMS Conf. Proc., vol. 4, Amer. Math. Soc., Providence, RI, 1984, pp. 51-105, 337-338.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 rings of finite CM type; finitely many indecomposable Cohen-Macaulay modules; simple hypersurface singularities; scrolls; fixed rings; almost split sequences Auslander, M., Reiten, I.: The Cohen--Macaulay type of Cohen--Macaulay rings. Adv. Math. 73(1), 1--23 (1989)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 o-minimal expansion of the field of real numbers; distribution of points with integer coordinates; definability; eventually transcendental -, Diophantine properties of sets definable in o-minimal structures , J. Symbolic Logic 69 (2004), 851--861.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 seminormal local rings; multiplicity; embedding dimension; associated graded ring; generalized multicross points; scheme; tangent cones
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 adjacency; division ring with involution; Hermitian matrices; Jordan isomorphism Huang, L. -P.: Geometry of n\(\times n (n\geqslant 3)\) Hermitian matrices over any division ring with an involution and its applications, Comm. algebra 36, No. 6, 2410-2438 (2008)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 binomial polynomials; values of the successive derivatives of polynomials or rational functions; polynomial functions; integral domain; ring of integers of a number field; fully invariant subsets; polynomial mappings; several variables; transcendental extension; finite extension; polynomial cycles; many exercises; open problems; bibliographical references Narkiewicz, Władysław, Polynomial mappings, Lecture Notes in Mathematics 1600, viii+130 pp., (1995), Springer-Verlag, Berlin
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Galois modules of finite commutative group schemes; ring of Witt vectors; abelian varieties with good reduction everywhere over the; rationals; nontrivial p-divisible groups over the integers; abelian varieties with good reduction everywhere over the rationals
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic geometry; nullstellensatz; polynomials over division algebras; matrix rings; quaternions
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 homotopy Lie algebra; noetherian local ring; cohomology of local; rings; complete intersection Luchezar L. Avramov and Stephen Halperin, On the structure of the homotopy Lie algebra of a local ring, Algebraic homotopy and local algebra (Luminy, 1982) Astérisque, vol. 113, Soc. Math. France, Paris, 1984, pp. 153 -- 155.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 division ring with involution; hermitian matrix; adjacency; geometry of matrices Huang, L.-P.: Adjacency preserving bijection maps of Hermitian matrices over any division ring with an involution. Acta Math. Sin. Engl. Ser. 23(1), 95--102 (2007)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real semigroups; semireal rings
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 local ring of an algebraic curve; perturbation; presaturated rings; equisingularity; Zariski saturation Campillo, A: ''On saturation of curve singularities (Any characteristic)''. Proc. of Symp. in Pure Math. Vol.40. Part 1, 211--220 (1983)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 fans; real spectra of noncommutative rings; real places; orderings; order compatible real places; integral domains; Bröcker's trivialization theorem; quantum planes Marshall, M., Zhang, Y.: Orderings, real places and valuations on noncommutative integral domains. J. Algebra 212, 190--207 (1999)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 algebraic curves; genus 2 and 3; curves with many rational points
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Witt ring; real-closed field; total signature map; unramified cohomology Monnier, J. P.: Unramified cohomology and quadratic forms. Math. Z. 235, 455-478 (2000)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real spectrum; total ordering; Pierce-Birkhoff conjecture; quadratic transforms; complete ideals; two-dimensional regular local rings; ideal transform; separating ideals Alvis, D.; Johnston, B.; Madden, J.: Complete ideals defined by sign conditions and the real spectrum of two-dimensional local ring. Math. nachr. 174, 21-34 (1995)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 sheaf-theoretic methods in noncommutative ring theory; noncommutative analogs; prime spectrum; structure sheaf; central extensions; radical functors; localization; hereditary torsion theories; symmetric radicals; second layer condition; FBN rings; strongly normalizing extensions; localizations at prime ideals; stable radicals; Artin-Rees property; localization functors; compatibility; Zariski topology; stable symmetric radicals; centralizing extension; strongly normalizing extension; ringed spaces Bueso, J. L., Jara, P., and Verschoren, A., Compatibility, stability and sheaves: un ménage à trois, monograph, to appear.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic variety; semi-algebraic set; coordinate ring; quadratic module; Archimedean; positive function; ring of continuous functions Marshall, M, Representations of non-negative polynomials having finitely many zeros, Annales de la faculté des sciences de Toulouse Mathématiques, 15, 599-609, (2006)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real spectrum; local-global principle; semilocal rings; étale cohomology; Galois cohomology Burési, J.: Local-global principle for étale cohomology,K-Theory 9 (1995), 551-566.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 curves with many points; algebraic function fields
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 elliptic curves with complex multiplication; elliptic units; cohomology class
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 variation of links of algebraic subsets; real algebraic set; semi- algebraic stratification; real spectrum; real place; order M. COSTE , Sous-ensembles algébriques réels de codimension 2 , (Real Analytic and Algebraic Geometry, Lecture Notes in Math., Springer-Verlag, 1990 , Vol. 1420, pp. 111-120). MR 91c:14069 | Zbl 0723.14040
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 rationality of the Poincaré series; Koszul ring; toric rings; Golod rings V. Gasharov, I. Peeva and V. Welker,Rationality for generic toric rings, Mathematische Zeitschrift233 (2000), 93--102.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 space with torus action; ring; pseudomanifold; linear graph; equivariant homology; intersection homology MacPherson, R.D.: Equivariant invariants and linear graphs, ''Geometric Combinatorics''. In: Miller, E., Reiner, V., Sturmfels, B. (eds.) Procedings of Park City Mathematical Institute (PCMI) 2004 (Providence, RI), American Mathematical Society, pp. 317--388 (2007)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real variety; semi-algebraic set; geometric stability index; real spectrum of a ring; spaces of orderings Scheiderer, C.,Stability index of real varieties. Invent. Math.97 (1989), 467--483.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 curves over a finite field; curves with many points; graphs; towers of function fields; zeta functions ] Emmanuel Hallouin and Marc Perret, From Hodge index theorem to the number of points of curves over finite fields, arXiv:1409.2357v1, 2014.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 signature map; Krull dimension; Witt ring; Archimedean rings
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 openness of loci; resolution of singularities; excellent rings; resolution of noetherian integral domain; catenary ring; local noetherian rings; lifting
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 ordering in the quotient field of the ring of germs of real analytic functions; real algebraic surfaces Alonso, M. E.; Gamboa, J. M.; Ruiz, J. M.: Ordres sur LES surfaces réelles. C. R. Acad. sci. Paris ser. I 298, No. No. 1, 17-19 (1984)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real closed spaces; semi-algebraic sets; semi-algebraic continuous functions; real spectrum of excellent rings N. Schwartz, Real closed spaces, Habilitationsschrift, München, 1984.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 local units; idempotents; Picard groups; rings of countably infinite matrices; rings of row-finite matrices Gene Abrams and Jeremy Haefner, Picard groups and infinite matrix rings, Trans. Amer. Math. Soc. 350 (1998), no. 7, 2737 -- 2752.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic variety; projective limit; coordinate ring; quadratic module; Archimedean; positive function S. Kuhlmann and M. Putinar, \textit{Positive polynomials on fibre products}, C. R. Math. Acad. Sci. Paris, 344 (2007), pp. 681--684.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 ring of germs of real analytic functions; real Nullstellensatz; Hilbert's 17th problem; ordering Jaworski, P., Extensions of orderings on fields of quotients of rings of real analytic functions, Math. Nachr., 125, 329-339, (1986)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 computation of real radicals; polynomial rings
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 units in a ring; affine algebraic variety; group of units; class group; Galois cohomology; étale cohomology DOI: 10.1142/S0219498814500650
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 formally real field; real place; space of real places; metrizability Machura M., Marshall M., Osiak K., Metrizability of the space of R-places of a real function field, Math. Z., 2010, 266(1), 237--242
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 normality of ideals of graded rings; Rees ring DOI: 10.1080/00927870008826939
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Goppa codes of modular curves; counting problem; curves with many rational points
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 value semigroups; algebroid curves; almost Gorenstein rings; almost symmetric semigroups; type of a ring; Apéry set
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real spectrum; Witt ring; real algebraic geometry; quadratic forms Becker, Eberhard: Sums of squares and quadratic forms in real algebraic geometry, Cahiers sém. Hist. math. Sér. 2 1, 41-57 (1991)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 dimension of formal fibres; completions of local rings; excellent rings; noetherian local ring; dimension of the formal fibres Hideyuki Matsumura, On the dimension of formal fibres of a local ring, Algebraic geometry and commutative algebra, Vol. I, Kinokuniya, Tokyo, 1988, pp. 261 -- 266.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 birational morphism; algebroid curves; resolution of singularities; Arf closure; Arf subrings of a discrete valuation ring; associated graded rings; ascending chain condition Campillo, A. and Castellanos, J.: ''Arf Closure relative to a divisorial valuation and trasversal curves''. Preprint 1991
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 plane curves with many points; finite fields; cyclotomic fields; irreducible polynomials; height; many integral solutions; many rational zeros Rodríguez Villegas, F; Voloch, JF; Zagier, D, Constructions of plane curves with many points, Acta Arith., 99, 85-96, (2001)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Nullstellensatz; free algebra; rational identity; division ring; skew field; spherical isometry; non commutative unitary group; positivstellensatz; real algebraic geometry; free analysis Klep, I.; Vinnikov, V.; Volčič, J., Null- and positivstellensätze for rationally resolvable ideals
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 seminormality; poset; Cohen-Macaulay rings; section ring of a sheaf; generalized face ring [Y2] Yuzvinsky, S.: Flasque sheaves on posets and Cohen-Macaulay unions of regular varieties. Adv. Math.73, 24--42 (1989)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Drużkowski matrix; cubic similarity; matrices with real entries; positive semidefinite matrices; Hadamard product Gorni, G.; Tutaj-Gasińska, H.: On the span invariant for cubic similarity. Ann. polonici math. 76, No. 1-2, 113-119 (2001)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 commutative ring; complex spectrum; real spectrum; real closed field; real algebraic set
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 quadratic forms; function field of a quadric; Galois cohomology; unramified cohomology; real quadrics; unramified Witt ring B. Kahn, M. Rost and R. Sujatha, Unramified cohomology of quadrics I, American Journal of Mathematics 120 (1998), 841--891.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Artin-Rees property; geometrically realizable ring; local cohomology; noncommutative scheme; left and right noetherian ring; prime ideals; structure presheaf; idempotent kernel functor; compatible rings; Azumaya algebras; closure operators; spectral sequences; local cohomology groups A. Verschoren, ''Local cohomology of noncommutative rings: a geometric interpretation,''Lect. Notes Math.,1328, 316--331 (1988).
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 algebraic models of smooth manifolds; smooth manifolds with symmetries; affine Nash manifolds; nonsingular real algebraic sets
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 multigraded factorial ring; Fano variety; torus action; finitely generated factorial algebras; Cox rings Hausen, J.; Herppich, E.; Süß, H., Multigraded factorial rings and Fano varieties with torus action, Doc. Math., 16, 71-109, (2011)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 polynomial ring; homological dimension; coordinate rings
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Lie group with a compatible real algebraic structure; locally Nash group; algebraic addition theorem; semialgebraic groups Madden J., Stanton C.: One-dimensional Nash groups. Pac. J. Math. 154(2), 331--344 (1992)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 arithmetic geometry codes; curves with many rational points; modular curves; class field theory; Deligne-Lusztig curves; infinite global fields; decoding of AG-codes; sphere packings; codes from multidimensional varieties; quantum AG-codes
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 codes; curves over finite fields with many points; bilinear multiplication algorithm; multiplicative complexity; supercodes; Shimura curves Shparlinski, I.; Tsfasman, M.; Vlăduţ, S., Curves with many points and multiplication in finite fields, (), 145-169
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 elliptic curves with complex multiplication; elliptic curves over an imaginary quadratic field; Iwasawa theory; supersingular primes; Schneider-Greenberg conjecture; \(p^ m\)-torsion subgroups; \(\mathbb{Z}_ p\)-cyclotomic extensions; maximal proextensions; special values of modular \(L\)-functions; elliptic units Mcconnell, G.: On the Iwasawa theory of CM elliptic curves at supersingular primes, Compos. math. 101, 1-19 (1996)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Frobenius number; pseudo-Frobenius number; almost Gorenstein ring; semigroup rings; monomial curve
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Nakai's conjecture; geometric local ring; high order derivations; invariant subrings of regular rings; action of a finite group of automorphisms Ishibashi, Yasunori: Nakai's conjecture for invariant subrings. Hiroshima math. J. 15, No. 2, 429-436 (1985)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Azumaya algebras with involution; central simple algebras with involution; reductive linear algebraic groups; valuation rings; semilocal Bézout domains; skew-Hermitian spaces; bilinear spaces; multipliers S. Beke and J. Van Geel, An isomorphism problem for Azumaya algebras with involution over semilocal bezout domains, Algebras and Representation Theory, pages 1-21, 2014.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 abelian varieties with real multiplication; formal group associated to the \(L\)-series of an elliptic curve; formal completion of the group law C. Deninger and E. Nart, Formal groups and \(L\)-series , Comment. Math. Helv. 65 (1990), 318--333.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real closed fields; orders on rings or fields; real algebraic set; Nash functions; Hilbert's 17th problem; Witt rings; semi-algebraic sets J. Bochnak, M. Coste, and M.-F. Roy, \textit{Real Algebraic Geometry}, Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 36, Springer-Verlag, Berlin, 1998.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 \(\mathbf{I}\)-cohomology; singular cohomology; Chow-Witt rings; real realization; real cellular varieties
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Cohen-Macaulay rings; Gorenstein rings; semigroup rings; associated graded rings; Hilbert function of a local ring; \(h\)-polynomial
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 injective homomorphism of product of local rings; length formulas for the local cohomology; module of differential forms on a complete intersection with isolated singularity Bruns, W. andVetter, U., Length formulas for the local cohomology of exterior powers,Math. Z. 191, (1986), 145--158.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic plane curve; Hilbert 16th problem; singularities of plane curve; constructing curves of a given degree; prescribed arrangement; perturbing singular curves with controlled variation of the topology; Ragdale's conjecture Brugallé, E.: Tropical curves, notes from introductary lectures given in July 2013 at Max Planck Institute for Mathematics, Bonn. http://erwan.brugalle.perso.math.cnrs.fr/articles/TropicalBonn/TropicalCurves
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 complete discrete valuation ring; sheaf of functions with overconvergent singularities; coherence Berthelot, P.: Cohérence différentielle des algèbres de fonctions surconvergentes. C. R. Acad. sci. Paris sér. I math. 323, No. 1, 35-40 (1996)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 GK-dimension; graded rings; noncommutative projective geometry; noncommutative surfaces; birational geometry; twisted section ring; stable birational map D. Rogalski, GK-dimension of birationally commutative surfaces, Transactions of the American Mathematical Society 361 (2009), 5921--5945.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Witt ring of singular real curve; K-theory of fibre products Dietel, G.: Wittringe singulärer reeller kurven. Comm. algebra 11, No. 21, 2393-2494 (1983)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 monoidal transformation; excellent ring; regular local rings; factorization of a local birational morphism Johnston, B.: The uniform bound problem for local birational nonsingular morphisms. Trans. amer. Math. soc. 312, No. No.1, 421-431 (1989)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Cox ring; Mori dream space; minimal surface of general type with \(p_g = 0\) effective cone; nef cone; semiample cone
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 local rings; Artin approximation; algebraic power series; henselisation of polynomial ring; discrete valuation rings Schoutens H.: Approximation properties for some non-Noetherian local rings. Pac. J. Math. 131(2), 331--359 (1988)
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real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Riemann-Rocj theorem; real divisors; edge-weighted graphs; integral divisors; graphs with multiple edges Rodney James and Rick Miranda, A Riemann-Roch theorem for edge-weighted graphs, Proceedings of the American Mathematical Society 141 (2013) 3793-3802.DOI: 10.1090/S0002-9939-2013-11671-0
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real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 \(p\)-Sylow subgroups; Cohen-Macaulay ring; Buchsbaum ring; modular rings of invariants; shallow representation Campbell H.E.A., Hughes I.P., Kemper G., Shank R.J., Wehlau D.L.: Depth of modular invariant rings. Transform. Groups 5(1), 21--34 (2000)
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real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 topos; coherent theory; spatial; Henselian local ring; p-adically closed local rings; finitary geometric; p-adically closed fields; p-adic spectrum DOI: 10.1016/0022-4049(86)90047-2
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real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 discretely ordered ring; real spectrum
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real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 coordinate ring of quantum matrices; coordinate ring of quantum \(n \times n\) matrices; automorphisms; defining relations; variety; point modules; graded flat deformations; polynomial rings; homogeneous Poisson brackets; Poisson structures; symplectic leaves Vancliff, M.: The defining relations of quantum n\(\times n\) matrices. J. lond. Math. soc. (2) 52, No. 2, 255-262 (1995)
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real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Witt ring of a ring; real algebraic curve; Knebusch-Milnor sequence
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real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 counting real points; counting real zeros; rational points; trace formula for quadratic forms; commutative ring; scaled Pfister form; algorithms; algebraic variety; quantifier elimination for real closed fields; Bröcker-Scheiderer theorem Becker, E.; Wörmann, T., On the trace formula for quadratic forms, (), To appear
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