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Algebraic Geometry papers — page 23

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Maximal Degeneracy Points of GKZ Systems
Motivated by mirror symmetry, we study certain integral representations of solutions to the Gel'fand-Kapranov-Zelevinsky(GKZ) hypergeometric system. Some of these solutions arise as period…
S. Hosono, B. H. Lian, S. -T. YauMar 19, 1996
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On curves over finite fields with many rational points
We study arithmetical and geometrical properties of maximal curves, that is, curves defined over the finite field Fq2 whose number of Fq2-rational points reachs the…
Rainer Fuhrmann, Fernando TorresMar 14, 1996
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Vanishing theorems for ample vector bundles
We prove a general vanishing theorem for the cohomology of products of symmetric and skew-symmetric powers of an ample vector bundle on a smooth complex projective variety. Special cases include an…
Laurent ManivelMar 14, 1996
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The Hilbert Schemes of Degree Three Curves are Connected
In this paper we show that the Hilbert scheme H(3,g) of locally Cohen-Macaulay curves in of degree three and genus g is connected. In contrast to H(2,g), which is irreducible,…
Scott NolletMar 14, 1996
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The Igusa modular forms and ``the simplest'' Lorentzian Kac--Moody algebras
We find automorphic corrections for the Lorentzian Kac--Moody algebras with the simplest generalized Cartan matrices of rank 3: A1,0 = 2 0 -1 0 2 -2 -1 -2 2 and A1,I = 2 -2 -1 -2 2 -1 -1 -1 2…
Valeri A. Gritsenko, Viacheslav V. NikulinMar 13, 1996
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A Note on the Cohomology of Moduli of Rank Two Stable Bundles
The rational cohomology of the moduli space of rank two, odd degree stable bundles over a curve (of genus g > 1) has been studied intensely in recent years and in particular the invariant subring…
Richard EarlMar 12, 1996
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Equivariant intersection theory
In this paper we develop an equivariant intersection theory for actions of algebraic groups on algebraic schemes. The theory is based on our construction of equivariant Chow groups. They are…
Dan Edidin, William GrahamMar 7, 1996
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Weight systems for toric Calabi-Yau varieties and reflexivity of Newton polyhedra
According to a recently proposed scheme for the classification of reflexive polyhedra, weight systems of a certain type play a prominent role. These weight systems are classified for the cases n=3…
Harald SkarkeMar 7, 1996
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p-adic abelian integrals and commutative Lie groups
The aim of this paper is to propose an ``elementary" approach to Coleman's theory of p-adic abelian integrals. Our main tool is a theory of commutative p-adic Lie groups (the logarithm map);…
Yu. G. ZarhinMar 5, 1996
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Weak approximation and Manin group of R-equivalences
We extend an exact sequence of Colliot-Thelene and Sansuc which connects arithmetic and birational invariants of tori over a number field to one for arbitrary connected linear algebraic groups.
Nguyen Quoc ThangMar 5, 1996
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Transformation de Fourier generalisee
In this paper I construct a geometric transformation for generalized 1-motives which extends the Fourier-Mukai transformation for O-Modules on abelian varieties, the geometric Fourier transformation…
Gerard LaumonMar 5, 1996
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Seiberg-Witten invariants for manifolds with b+=1, and the universal wall crossing formula
In this paper we describe the Seiberg-Witten invariants, which have been introduced by Witten, for manifolds with b+=1. In this case the invariants depend on a chamber structure, and there exists…
Christian Okonek, Andrei TelemanMar 4, 1996
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Connectedness extensions for abelian varieties
Suppose A is an abelian variety over a field F, and is a prime not equal to the characteristic of F. Let FΦ,(A) denote the smallest extension of F such that the Zariski…
A. Silverberg, Yu. G. ZarhinMar 1, 1996
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Images of -adic representations and automorphisms of abelian varieties
Suppose F is either a global field or a finitely generated extension of Q, A is an abelian variety over F, and is a prime not equal to the characteristic of F. Let Z…
A. Silverberg, Yu. G. ZarhinMar 1, 1996
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Even sets of nodes are bundle symmetric
Let k be an algebraically closed field of characteristic p different from 2, and let F be a nodal surface of degree d in the projective 3-space P over k (i.e. the singularities of F are only ordinary…
Gianfranco Casnati, Fabrizio CataneseFeb 29, 1996
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Sheaves with connection on abelian varieties
The Fourier-Mukai transform is lifted to the derived category of sheaves with connection on abelian varieties. The case of flat connections (D-modules) is discussed in detail.
Mitchell RothsteinFeb 28, 1996
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Towards a theory of arithmetic degrees
The aim of this paper is to start a systematic investigation of the arithmetic degree of projective schemes as introduced by D. Bayer and D. Mumford. One main theme concerns itself with the behaviour…
Chikashi Miyazaki, Wolfgang VogelFeb 28, 1996
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Bounds on cohomology and Castelnuovo-Mumford regularity
The Castelnuovo-Mumford regularity reg(X) of a projective scheme X was introduced by Mumford by generalizing ideas of Castelnuovo. The interest in this concept stems partly from the fact that X is…
Chikashi Miyazaki, Wolfgang VogelFeb 28, 1996
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The Eisenbud-Koh-Stillman Conjecture on Linear Syzygies
It is proved, as was conjectured by Eisenbud-Koh-Stillman, that for a finitely generated graded module M over the symmetric algebra S(V), if the Koszul group Kp,0(M,V) 0, then the…
Mark GreenFeb 28, 1996
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Formulas for Lagrangian and orthogonal degeneracy loci; the Q-polynomials approach
Let V be a vector bundle on a scheme X endowed with a nondegenerate symplectic or orthogonal form. Let G be a Grassmannian bundle parametrizing maximal isotropic subbundles of V. The main goal of the…
P. Pragacz, J. RatajskiFeb 27, 1996
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P-Resolutions of Cyclic Quotients from the Toric Viewpoint
P-resolutions of two-dimensional, cyclic quotient singularities have been introduced to study deformation theory. Those P-resolutions (as well as the singularities themselves) are toric varieties. In…
Klaus AltmannFeb 27, 1996
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Topology of Conic Bundles - II
For conic bundles on a smooth variety (over a field of characteristic 2) which degenerate into pairs of distinct lines over geometric points of a smooth divisor, we prove a theorem which…
Nitin NitsureFeb 25, 1996
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Conics Touching a Quartic Surface with 13 Nodes
Motivated by questions occuring in the construction of certain twistor spaces the parameter space of conics tangent to a given quartic is investigated. For a given real quartic surface in complex…
Ingo HadanFeb 22, 1996
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Semicontinuity for representations of one-dimensional Cohen-Macaulay rings
We show that the number of parameters for CM-modules of prescribed rank is semi-continuous in families of CM rings of Krull dimension 1. This transfers a result of Knoerrer from the commutative to…
Y. A. Drozd, G. -M. GreuelFeb 21, 1996
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Reduction of abelian varieties
We study semistable reduction and torsion points of abelian varieties. In particular, we give necessary and sufficient conditions for an abelian variety to have semistable reduction. We also study…
A. Silverberg, Yu. G. ZarhinFeb 19, 1996
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