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Algebraic Geometry papers — page 26

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Applications of Koszul homology to numbers of generators and syzygies
Several spectral sequence techniques are used in order to derive information about the structure of finite free resolutions of graded modules. These results cover estimates of the minimal number of…
Peter SchenzelDec 11, 1995
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Non-symplectic involutions of a K3 surface
We classify K3 surfaces with a non-symplectic finite automorphism of high order. It is shown that such an automorphism cannot be of order 60, and for each of the orders 38, 44, 48, 50, 54 and 66,…
G. XiaoDec 9, 1995
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On non-strict notions of n-category and n-groupoid via multisimplicial sets
In this paper we first give a simplicial approach to the definition of a non strict n-category that we call an n-nerve following the idea that a category could be interpreted as a simplicial set,…
Zouhair TamsamaniDec 8, 1995
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Higher Syzygies of Elliptic Ruled Surfaces
Let L be a normally generated line bundle on X; we say L satisfies property Np (notation after Mark Green) if the matrices in the free resolution of R (the homogeneous coordinate ring of X) over S…
Francisco Gallego, B. P. PurnaprajnaDec 6, 1995
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Varieties of CM-type
We introduce the notion of a variety (or more generally a motive) of CM-type which generalises the well known notion of abelian variety of CM-type. Just as in that particular case it will turn out…
Torsten EkedahlDec 5, 1995
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Quot schemes for flags and Gromov invariants for flag varieties
Using Quot schemes and a localization theorem we study Gromov-Witten invariants for partial flag varieties. The strategy is to extend A. Bertram's result of Gromov-Witten invariants for special…
Bumsig KimDec 4, 1995
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Primitive Calabi-Yau Threefolds
A primitive Calabi-Yau threefold is a non-singular Calabi-Yau threefold which cannot be written as a crepant resolution of a singular fibre of a degeneration of Calabi-Yau threefolds. These should be…
Mark GrossDec 4, 1995
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Infinitesimal presentations of the Torelli groups
This is a significant revision of the early version of this paper which was posted last December. The speculative section has been removed in light of some recent results of Morita and Kawazumi.…
Richard HainDec 1, 1995
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Construction of rank two bundles on P4 in positive characteristic
Many examples of rank two bundles on P4 are constructed in positive characteristic. Construction depends on constructing certain special bundles on P3 which is shown to be…
N. Mohan KumarNov 29, 1995
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Symplectic biextensions and a generalization of the Fourier-Mukai transform
A generalization of the Fourier-Mukai transform is proposed. The construction is based on analogy with the classical picture of representations of the Heisenberg group.
Alexander PolishchukNov 28, 1995
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On the structure of semistable rigid sheaves on algebraic surfaces
Let S be a smooth projective surface, K be the canonical class of S and H be an ample divisor such that H.K<0 . In this paper we prove that for any rigid (Ext1(F,F)=0) semistable sheaf F in the…
Boris V. KarpovNov 27, 1995
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Exceptional and Rigid Sheaves on Surfaces with Anticanonical Class without Base Components
The paper consists of three parts. In the first of them different kinds stability are discussed. In particular, the stability concept with respect to nef divisor is introduced. A structure of rigid…
Sergej A. KuleshovNov 24, 1995
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Subadjunction of log canonical divisors for a subvariety of codimension 2
We obtain a formula which relates the log canonical divisor of the ambient space with that of a subvariety of codimension 2 by using Knudsen's moduli space of pointed stable curves of genus 0.
Yujiro KawamataNov 24, 1995
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Normal presentation on Elliptic Ruled surfaces
In this article we determine exactly which line bundles on elliptic ruled surface X are normally presented. In particular we see that numerical classes of normally presented divisors form a convex…
Francisco Gallego, B. P. PurnaprajnaNov 23, 1995
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A few general points of the Hilbert scheme of K3 surfaces
A ribbon D over a variety C is a scheme such that Dred = C, the ideal I in OD of Cis a line bundle on C and I2 = 0. A two dimensional ribbon is called a carpet. In this article we show that if D…
Francisco Gallego, B. P. PurnaprajnaNov 23, 1995
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Picard group of the moduli spaces of G-bundles
We prove that the Picard group of the moduli space of semistable G-bundles on any irreducible smooth projective curve is isomorphic with the group of integers.
Shrawan Kumar, M. S. NarasimhanNov 22, 1995
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The 2-dimensional jacobian conjecture via Klein's program
We investigate the 2-dimensional jacobian conjecture via Klein's program.
Pavel KatsyloNov 21, 1995
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On discriminants of polylinear forms
In this paper we propose a conseptual framework for the observed properties of discriminants of polylinear forms. The connection with classical problems of linear algebra is shown. A new class of…
Valerii V. DolotinNov 20, 1995
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Cohomology of compact hyperkaehler manifolds and its applications
This article contains a compression of results from alg-geom/9501001, with most proofs omitted. We prove that every two points of the connected moduli space of holomorphically symplectic manifolds…
Misha VerbitskyNov 16, 1995
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Evolutions, Symbolic Squares, and Fitting Ideals
Given a reduced local algebra T over a suitable ring or field k we study the question of whether there are nontrivial algebra surjections R T which induce isomorphisms $ΩR/k T …
David Eisenbud, Barry MazurNov 15, 1995
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Perverse sheaves on a Loop group and Langlands' duality
An intrinsic construction of the tensor category of finite dimensional representations of the Langlands dual group of G in terms of a tensor category of perverse sheaves on the loop group, LG, is…
Victor GinzburgNov 13, 1995
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On the intersections of rational curves with cubic plane curves
Let C be a smooth cubic curve in the complex projective plane. We show that for every positive integer k, there are only finite number of rational curves of degree k each intersects the cubic C at…
Geng XuNov 8, 1995
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How to Construct Curves over Finite Fields With Many Points
In this paper we give several methods to construct curves over finite fields with many points and illustrate this with examples of the results.
Gerard van der Geer, Marcel van der VlugtNov 8, 1995
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Faisceaux automorphes pour GL(n): la premiere construction de Drinfeld
Drinfeld a associe a tout systeme local irreductible de rang 2 sur une surface de Riemann compacte un "faisceau automorphe". Ce faisceau automorphe vit sur l'espace de modules des fibres…
Gerard LaumonNov 7, 1995
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Geography of Brill-Noether loci for small slopes
Let X be a non-singular projective curve of genus g2 over an algebraically closed field of characteristic zero. Let denote the moduli space of stable bundles of rank n and degree d…
L. Brambila Paz, I. Grzegorczyk, P. E. NewsteadNov 6, 1995
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