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real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 de Rham cohomology; spectral sequences; Witt rings; Frobenius morphism; characteristic \(p\) DOI: 10.1006/jnth.1997.2112
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 punctured spectrum of a regular local ring; divisor; extendible self-dual bundle; obstruction G. Horrocks, Vector bundles on the punctured spectrum of a local ring II, Vector Bundles on Algebraic Varieties (Bombay, 1984), TIFR, Oxford University Press (1987) 207-216.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Topology; Real algebraic varieties
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 polynomial ring; valuations
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Nash manifolds; real algebraic manifolds; purely real deformations Ballico, E; Ghiloni, R, The principle of moduli flexibility for real algebraic manifolds, Ann. Polon. Math., 109, 1-28, (2013)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 generators of ring of semi-invariants; Dynkin diagram; \(A_ n\); codimension 1 orbits S. Abeasis, Codimension 1 orbits and semi-invariants for the representations of an oriented graph of type \(\mathbb{A}_n \) , Trans. Amer. Math. Soc.282 (1984), 463--485.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Igusa zeta functions; congruences in many variables; topological zeta functions; motivic zeta functions; Newton polyhedra; toric varieties; log-principalization of ideals Willem Veys & Wilson A. Zúñiga-Galindo, Zeta functions for analytic mappings, log-principalization of ideals, and Newton polyhedra, Trans. Am. Math. Soc.360 (2008), p. 2205-2227
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 multiplication by the class of a special Schubert variety; integral cohomology ring of the flag manifold; Pieri formual; Bruhat order Frank Sottile, Pieri's formula for flag manifolds and Schubert polynomials, Ann. Inst. Fourier (Grenoble) 46 (1996), no. 1, 89-110 (English, with English and French summaries).
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 symbolic computation; algorithms; complexity; connectivity queries; nonlinear computational geometry; real algebraic geometry
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 cubic surface; real lines; enumerative geometry
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Witt ring of a scheme; Dedekind domain
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 quadratic form; function field of a quadratic form; \(u\)-invariant; quadratic forms with maximal splitting; torsion of Chow groups of quadrics; unramified cohomology of quadrics Izhboldin, O. T., Fields of \(u\)-invariant 9, Ann. of Math., 154, 529-587, (2001)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 analytic germ; semi-analytic real spectrum; space of orders of the field of germs of meromorphic functions; formal half branch; maximum dimension locus; Hilbert 17th problem Ruiz, J.: Central orderings in fields of real meromorphic function germs. Preprint (1984)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 \(SK_ 0\); \(SK_ 1\); coordinate ring of a projective variety; Pic; Witt vectors; K-theory transfer map B.H. Dayton and C.A. Weibel, On the naturality of Pic, SK0 and SK1, to appear.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 dual variety; noncompact real algebraic variety; semidefinite representations; sums of squares; theta bodies
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 symbolic powers; divisor class group; normal toric ring; flat extensions Walker, R. M., Uniform harbourne-huneke bounds via flat extensions
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Chow ring; moduli space; stable map; Betti numbers
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 generators; ideals; semialgebraic sets; closures of ideals; semialgebraic differential operator; real radical; polynomial system; algorithms
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Demazure construction; Dolgachev-Pinkham-Demazure construction; multi-section ring; Mori dream space; Krull ring
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 cohomological invariants; hyperelliptic curve; moduli stack; equivariant Chow rings
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 connected reductive algebraic groups; split torus; split Borel subgroups; unipotent radical; Weyl groups; products of affine spaces with tori; Hecke algebras; finite Chevalley groups Curtis, C. W.: A further refinement of the Bruhat décomposition. Proc. amer. Math. soc. 102, 37-42 (1988)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 threefolds with trivial canonical bundle; complete intersection; enumerative combinatorics
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 measures associated with Hecke series; Dirichlet series; Euler product
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 characteristic \(p\); Witt ring; Frobenius automorphism; isocrystals; \(\sigma\)-conjugacy classes; connected reductive groups; Shimura varieties R.\ E. Kottwitz, Isocrystals with additional structure, Compos. Math. 56 (1985), no. 2, 201-220.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 topology of real algebraic curves; algebraic curves depending on parameters; analytic dependence; Pfaffian chains; algebraic surface singularities
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 ramification; NEC group; automorphism of Klein surfaces with boundary
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Frobenius structure; differential operator; free modules of finite rank over the ring of analytic elements in annulus; differential polynomial; generic radius of convergence; Frobenius antecedent Christol, G.; Dwork, B., Modules différentiels sur des couronnes, Ann. Inst. Fourier (Grenoble), 44, 3, 663-701, (1994), MR MR1303881 (96f:12008)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 constructible set; real algebraic variety; regulous function; regulous variety; regulous vector bundle
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 \(p\)-adic Hodge theory; deformation rings; algebraic groups Bellovin, R, Generic smoothness for \(G\)-valued potentially semi-stable deformation rings, Ann. Inst. Fourier (Grenoble), 66, 2565-2620, (2016)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Zariski-Lefschetz theorem; normal Morse data; Lefschetz theorem for hyperplane sections; singularities; locally a complete intersection; Morse theory for manifolds with boundary; stratified Morse theory; rectified homotopical depth
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 conformal field theory; twisted \(K\)-theory; nimrep; subfactor; Verlinde ring Evans, D.E., Gannon, T.: Modular invariants and twisted equivariant K-theory II: Dynkin diagram symmetries. J. K-Theory 8(2), 273-330 (2013). arXiv:1012.1634
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Chern class; affine three-folds; projective module over a smooth affine ring
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Riemann surfaces; moduli space; real Riemann surfaces; pseudo-real Riemann surfaces
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 fibrations; flat algebras; Laurent polynomial ring; fibre ring Bhatwadekar, S. M.; Dutta, A. K.: On A\(\ast \)-fibrations. J. pure appl. Algebra 149, 1-14 (2000)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 schemes and morphisms; divisorial schemes; ample sheaves; graded rings; formal schemes; group actions; geometric invariant theory; ampleness criteria; algebraization Brenner, H.; Schröer, S.: Ample families, multihomogeneous spectra, and algebraization of formal schemes. Pacific J. Math. (2001)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 complete intersection; periodicity of minimal free resolution; regular local ring; matrix factorization D. Eisenbud, Homological algebra on a complete intersection, with an application to group representations, Trans. Amer. Math. Soc. 260 (1980), no. 1, 35-64.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Clifford index; real algebraic curve; real gonality; real line bundle Ballico, E.: Gonality and Clifford index for real algebraic curves, Collectanea math. 53 (2002)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 bitableaux; catabolism types; nilpotent cones; Schur modules; highest weight vectors; coordinate rings; explicit bases; base change Shimozono, M.; Weyman, J.: Bases for coordinate rings of conjugacy classes of nilpotent matrices. J. algebra 220, 1-55 (1999)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 authentication codes with secrecy; algebraic function fields; linearized polynomials Özbudak, E.K.; Özbudak, F.; Saygı, Z., A class of authentication codes with secrecy, Des. codes cryptogr., 59, 287-318, (2011)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 2-dimensional local rings; arithmetic duality; algebraic groups; local-global principle; torsors; weak approximation; Galois cohomology
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 intersection theory of moduli spaces of curves; matroid Chow rings; polynomials of matroids
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 lifting to Witt ring; degenerations; \(K3\) surfaces Nakkajima, Y., \textit{liftings of simple normal crossing log K3 and log Enriques surfaces in mixed characteristics}, J. Algebraic Geom., 9, 355-393, (2000)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 rings of invariants; locally nilpotent derivations; translation; equivariant trivialization
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 moment-angle complex; Stanley-Reisner ring; quasitoric manifold; virtual polytope; multi-fan; multi-polytope; star-shaped sphere; arrangement of affine hyperplanes
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 noetherian ring; height one prime ideal; resolution of singularities; rational singularities
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real affine algebraic variety; algebraic model; Stiefel-Whitney class; real regular functions Bochnak J., Kucharz W.: Algebraic models of smooth manifolds. Invent. Math. 97, 585--611 (1989)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Dolbeault cohomology; Poincaré lemma with logarithmic growth Harris, M. and Phong, D.H. , Cohomologie de Dolbeault à croissance logarithmique à l'infini , Comp. Rend. Acad. Sci. Paris 302 (1986), 307-310.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic variety; regular map; continuous rational map; approximation; homotopy; Borel-Moore homology Kucharz, W., Regular versus continuous rational maps, Topol. Appl., 160, 1375-1378, (2013)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 multiplicity free representation; admissible representation; visible action; (real) spherical variety; Hermitian symmetric space; tube type domain
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 tame automorphisms; wild automorphisms; graded rings; polynomial algebra
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 vanishing theorems; liftability to ring of Witt vectors; differential forms; positive characteristic
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 retract neighborhood; subspaces with singularities; semialgebraic neighborhood; Nash map; resolution of singularities
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 generic configuration; mirror image; moduli space of real algebraic surfaces
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Galois theory; rings; modules; algebras; coverings; Riemann surfaces; categories; functors; Belyi polynomials; dessins d'enfants Régine Douady and Adrien Douady, Algèbre et théories galoisiennes. 1, CEDIC, Paris, 1977 (French). Algèbre. [Algebra]. Régine Douady and Adrien Douady, Algèbre et théories galoisiennes. 2, CEDIC, Paris, 1979 (French). Théories galoisiennes. [Galois theories].
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Grothendieck ring; banana graphs; flower graphs
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 formal proofs; \texttt{Coq}; quantifier elimination; small scale reflection; real algebraic geometry; real closed fields Cohen, C.: Mahboubi, A.: Formal proofs in real algebraic geometry: from ordered fields to quantifier elimination. Logical Methods Comput. Sci. \textbf{8}(1:02), 1-40 (Feb 2012) https://hal.inria.fr/inria-00593738
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 hyperbolic geometry; real Riemann surfaces; topology of surfaces
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Cohen-Macaulay; graphs; odd cycle condition; projective dimension; regularity; toric rings
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 derivations; twin triangular derivations; actions on \(\mathbb{C}^n\); ring of invariants; twin triangular actions J.K. Deveney and D.R. Finston: Twin triangular derivations , Osaka J. Math. 37 (2000), 15--21.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 hypersurface singularities; algorithmic classification; real geometry Marais, M., Steenpaß, A.: The classification of real singularities using Singular Part I: splitting lemma and simple singularities. J. Symb. Comput. 68, 61--71 (2015)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 moduli space of curves; Gromov--Witten theory; tautological rings; tautological relations D. Arcara and Y.-P. Lee, Tautological equations in genus 2 via invariance constraints, Bull. Inst. Math. Acad. Sin. (N.S.) 2 (2007), no. 1, 1 -- 27.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real classical group; representations; character; flag variety; moment map; Young diagrams Atsuko Yamamoto, Orbits in the flag variety and images of the moment map for \?(\?,\?), Proc. Japan Acad. Ser. A Math. Sci. 72 (1996), no. 6, 114 -- 117.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Cox rings; algebraic varieties; homogeneous spaces; graded algebras and rings; line bundles; toric varieties; geometric invariant theory; actions of groups; algebraic surfaces; Mori Dream Spaces; Zariski decompositions; Manin's conjecture; Hasse principle; Brauer-Manin obstructions; del Pezzo surfaces; \(K3\) surfaces; Enriques surfaces; GKZ decompositions; GALE transformations; flag varieties; combinatorial methods in algebraic geometry Arzhantsev, Ivan; Derenthal, Ulrich; Hausen, Jürgen; Laface, Antonio, Cox rings, Cambridge Studies in Advanced Mathematics 144, viii+530 pp., (2015), Cambridge University Press, Cambridge
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 complex tori; hyperelliptic manifolds; Bagnera-De Franchis manifolds; Hodge structures; cyclic coverings; group algebra; factorial rings; cyclotomic rings; resultants of cyclotomic polynomials; fundamental groups
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real cobordism; algebraic cobordism; quadratic forms; Rost motive; Morava \(K\)-theories Po Hu and Igor Kriz, Some remarks on Real and algebraic cobordism, \?-Theory 22 (2001), no. 4, 335 -- 366.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 moduli space for stable sheaves; Chern classes; cycle map; Chow ring Geir Ellingsrud and Stein Arild Strømme, Towards the Chow ring of the Hilbert scheme of \?², J. Reine Angew. Math. 441 (1993), 33 -- 44.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic cycle; real algebraic variety; real algebraic models
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 bigraded rings; bigraded modules; complete intersection; Hilbert function; minimal free resolution; scheme-theoretic complete intersection
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Picard group; free abelian monoid; seminormal ring; Mayer-Vietoris sequence of algebraic K-theory [Lantz] Lantz, D.: On the Picard group of an abelian group ring, Group and Semigroup Rings. N. Holland Math. Studies Vol. 126, Amsterdam, 1986
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Albanese variety; algebraic cycles; second cohomology group of a surface with prescribed singularities; curves on surfaces; effective divisor; 1- motive; periods
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 monad of a curve; resolution of the normalized coordinate ring; degree; low genus; smoothing Walter, CH, Curves in \(\mathbb{P}^r\) with the expected monad, J. Algebr. Geom., 4, 301-320, (1995)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 prime characteristic; compute a set of generators for the ring of invariant functions Kempf, G. R.: More on computing invariants. Lecture notes in mathematics 1471, 87-89 (1991)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic geometry; semialgebraic set; Nash manifold \beginbarticle \bauthor\binitsM. \bsnmShiota, \batitleAbstract Nash manifolds, \bjtitleProc. Amer. Math. Soc. \bvolume96 (\byear1986), no. \bissue1, page 155-\blpage162. \endbarticle \endbibitem
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 connected reductive algebraic groups; finitely generated commutative algebras; Noetherian modules; good filtrations; good filtration dimension; cohomology groups; cohomology rings W. van der Kallen, Finite good filtration dimension for modules over an algebra with good filtration, J. Pure Appl. Algebra 206 (2006), 59--65.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 ring of Noetherian functions; multiplicity; isolated solution Andrei Gabrielov and Askold Khovanskii. Multiplicity of a Noetherian intersection. In: \textit{Geometry of differential equations}, volume 186 of \textit{Amer. Math. Soc. Transl. Ser. 2}, pages 119-130. Amer. Math. Soc., Providence, RI (1998).
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 surfaces of general type; Calabi-Yau threefolds; covering; varieties of minimal degree; canonical ring Gallego F.J., Purnaprajna B.P. (2003). On the canonical rings of covers of surfaces of minimal degree. Trans. Amer. Math. Soc. 355:2715--2732
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 motivic homotopy theory; algebraic cobordism; algebraic K-theory; Landweber exactness; formal group law; motivic ring spectrum; oriented ring spectrum; Bott periodicity N. Naumann, M. Spitzweck, P. A. Østvær. Chern classes, \( {K}\)-theory and Landweber exactness over nonregular base schemes, in Motives and Algebraic Cycles: A Celebration in Honour of Spencer J. Bloch, Fields Institute Communications, Vol. 56, 307-317, AMS, Providence, RI, 2009.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Real algebraic geometry; Ordered structures; AMS; Special session; Baton Rouge, LA (USA); Proceedings
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 noncommutative algebraic geometry; Brown-Gersten-Quillen spectral sequence; fully bounded noetherian ring
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 singular projective curves; normalization maps; rings of differential operators; invertible sheaf; maximal finite dimensional factor algebras; category of quasi-coherent sheaves
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 quantum projective planes; homogeneous coordinate rings; graded algebras; Hilbert series; regular algebras; schemes; sheaves of algebras Mori, I, The center of some quantum projective planes, J. Algebra, 204, 15-31, (1998)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic geometry; nonrecursive functions A. Nabutovsky, Non-recursive functions in real algebraic geometry, Bull. Amer. Math. Soc. 20 (1989), 61--65.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 zeros of Mellin transforms; modular cusp forms; eigenforms of Hecke operators; infinitely many zeros; critical line; explicit computations; algebraic Fourier coefficients of cusp eigenforms; Hasse-Weil L-functions H. R. P. Ferguson, R. D. Major, K. E. Powell, and H. G. Throolin, On zeros of Mellin transforms of \?\?\(_{2}\)(\?) cusp forms, Math. Comp. 42 (1984), no. 165, 241 -- 255.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 algebraic cycles; Chow ring; motives; Beauville `splitting property'
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Picard group; Picard number; real algebraic surface; homology; algebraic cycles; resolution of singularities Frédéric Mangolte, Une surface réelle de degré 5 dont l'homologie est entièrement engendrée par des cycles algébriques, C. R. Acad. Sci. Paris Sér. I Math. 318 (1994), no. 4, 343 -- 346 (French, with English and French summaries).
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 constants of functional equation of zeta function; characteristic p; zeta function associated with a regular irreducible prehomogeneous vector space; Gaussian sums
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 torsion groups of elliptic curves with integral j-invariant; pure cubic number fields Fung, G.; Ströher, H.; Williams, H.; Zimmer, H.: Torsion groups of elliptic curves with integral j-invariant over pure cubic fields. J. number theory 36, 12-45 (1990)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 group schemes; support varieties; rank varieties; \(p\)-points; thick subcategories; stable module categories; cohomology rings; finite-dimensional cocommutative Hopf algebras Friedlander, E. M.; Pevtsova, J., \({\Pi}\)-supports for modules for finite group schemes, Duke Math. J., 139, 2, 317-368, (2007)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 algorithms in real algebraic geometry
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real algebraic geometry; quantifier elimination; symbolic optimization; control system design; manufacturing design
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real cubic fourfold; deformation chirality; period map; Coxeter graphs
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Cohen-Macaulay ring; regular local ring; multiplicity; Gorensteinness; integrally closed ideal Huneke C., Sally J. (1988). Birational extensions in dimension two and integrally closed ideals. J. Algebra 115:481--500
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Chow ring; constant cohomology ring; ring of formal power series; quantum cohomology; contact product; number of rational plane curves [EK2]Ernström, L. andKennedy, G., Contact cohomology of the projective plane,Amer. J. Math. 121 (1999), 73--96.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 non compact toric varieties with singularities; homology with closed supports; cohomology with compact supports A. Jordan, ''Homology and Cohomology of Toric Varieties,'' PhD Thesis (Univ. Konstanz, 1997), available at http://www.inf.uni-konstanz.de/Schriften/preprints-1998.html#057
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real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 characteristic \(p\); formal group; power series ring; representation of the Galois group; torsion points C.-L. Chai, Local monodromy for deformations of one-dimensional formal groups, Journal für die Reine und Angewandte Mathematik 524 (2000), 227--238.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 real analytic space; analytic function; zero set; vanishing ideal; Nullstellensatz; primary decomposition Broglia, F; Pieroni, F, The nullstellensatz for real coherent analytic surfaces, Rev. Mat. Iberoam., 25, 781-798, (2009)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Abelian varieties; Voronoi compactification; Chow ring; cohomology ring K. Hulek and O. Tommasi, Cohomology of the toroidal compactification of {{\mathcal{A}}_{3}}, Vector bundles and complex geometry, Contemp. Math. 522, American Mathematical Society, Providence (2010), 89-103.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 amoeba; tropical geometry; smooth real algebraic curve; curvature M. Passare and J. J. Risler, \textit{On the curvature of the real amoeba}, Proceedings of the G''okova Geometry-Topology Conference 2010, Int. Press, Somerville, MA, 2011, pp. 129--134.
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 induction formulae; trivial source modules; Brauer characters; Brauer maps; Euler characteristic; Green rings; modular representations Symonds, P.: A splitting principle for modular group representations. Bull. London math. Soc. 34, 551-560 (2002)
0
real place; holomorphy ring; rings with many units DOI: 10.1016/0021-8693(91)90169-9 Constructible topology; Ultrafilter; von Neumann regular ring Marco Fontana and K. Alan Loper, The patch topology and the ultrafilter topology on the prime spectrum of a commutative ring, \(Comm. Algebra\)36 (2008), 2917-2922.
0