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Algebraic Geometry papers — page 37

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Submodules of the deficiency modules and an extension of Dubreil's Theorem
In its most basic form, Dubreil's Theorem states that for an ideal I defining a codimension 2, arithmetically Cohen--Macaulay subscheme of projective n-space, the number of generators of…
Heath Martin, Juan MiglioreOct 26, 1994
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Exceptional vector bundle on Enriques surfaces
The main purpose in this paper is to study exceptional vector bundles on Enriques surfaces.
Severinas ZubeOct 26, 1994
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On the automorphism groups of algebraic bounded domains
Let D be a bounded domain in Cn. By the theorem of H.~Cartan, the group Aut(D) of all biholomorphic automorphisms of D has a unique structure of a real Lie group such that the action…
Dmitri ZaitsevOct 25, 1994
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Quantum Schubert Calculus
This paper works out the versions of the classical Giambelli and Pieri formulas in the context of quantum cohomology of a complex Grassmannian.
Aaron BertramOct 24, 1994
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L2 vanishing theorems for positive line bundles and adjunction theory, Lecture Notes of a CIME course on "Transcendental Methods of Algebraic Geometry" (Cetraro, Italy, July 1994)
The notes start with an elementary introduction to a few important analytic techniques of algebraic geometry: closed positive currents, L2 estimates for the -operator on positive vector…
Jean-Pierre DemaillyOct 21, 1994
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Remarks on rational points of varieties whose cotangent bundles are generated by global sections
In this short note, we will gives several remarks on rational points of varieties whose cotangent bundles are generated by global sections. For example, we will show that if the sheaf of…
Atsushi MoriwakiOct 21, 1994
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The Theta Divisor of SUC(2,2d)s is very Ample if C is not Hyperelliptic
Let X be the moduli space of semistable rank 2 vector bundles over a smooth curve C of genus g 2 and θ: X PH0(L)* be the map associated to the generalized theta divisor L on X. We…
S. Brivio, A. VerraOct 21, 1994
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Recursive relations for the cohomology ring of moduli spaces of stable bundles
The authors learnt that similar results have been independently found by D.Zagier, V.Baranovsky and V.Balaji/A.King/P.Newstead. The corresponding references have been added (and some typos corrected).
B. Siebert, G. TianOct 20, 1994
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On the prime-to-p part of the groups of connected components of Néron models
This article improves certain results of Dino Lorenzini concerning the groups of connected components of special fibres of Néron models of abelian varieties. Lorenzini has shown the existence of a…
Bas EdixhovenOct 20, 1994
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A Matsusaka-type Theorem for Surfaces
The purpose of this note is to give an (esentially optimal) effective version of Matsusaka's Big theorem for smooth projective surfaces.
Guillermo Fernández del BustoOct 19, 1994
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Toric Residues
In Cn+1, one can show that the residue of n+1 homogeneous forms of the same degree equals the integral of a certain (n,n) form over Pn. Furthermore, the Jacobian of the forms…
David A. CoxOct 19, 1994
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Mumford-Thaddeus Principle on the Moduli Space of Vector Bundles on an Algebraic Surface
We study the behavior of the Gieseker space of semistable torsion-free sheaves of rank r and fixed c1, c2 on a non-singular projective surface as the polarization varies. It is shown that the ample…
K. Matsuki, R. WentworthOct 15, 1994
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On the Hitchin System
The Hitchin system is a completely integrable hamiltonian system (CIHS) on the cotangent space to the moduli space of semi-stable vector bundles over a curve. We consider the case of rank-two vector…
Bert van Geemen, Emma PreviatoOct 14, 1994
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On the linearization of the automorphism groups of algebraic domains
Let D be a domain in Cn and G a topological group which acts effectively on D by holomorphic automorphisms. In this paper we are interested in projective linearizations of the action of G,…
Dmitri ZaitsevOct 13, 1994
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On the Malcev completion of Kähler groups
Restrictions are placed on the presentation and holonomy algebra of a Kähler group. Let X be compact Kähler. It is known that the formality of X, its Albanese map and the Hodge structure of…
Jaume AmorosOct 13, 1994
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The principle describing possible combinations of singularities in deformations of a fixed singularity
This is the abstract prepared for Workshop on Topology and Geometry (Zhang jiang, China, October 1994), and is a review of my recent works. What kinds of combinations of singularities can appear in…
Tohsuke UrabeOct 13, 1994
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Ample Line Bundles on Blown Up Surfaces
Given a smooth complex projective surface S and an ample divisor H on S, consider the blow up of S along k points in general position. Let H' be the pullback of H and E1,..., Ek…
Oliver KüchleOct 12, 1994
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Functorial structure of units in a tensor product
We study the units in a tensor product of rings. For example, let k be an algebraically closed field. Let A and B be reduced rings containing k, having connected spectra. Let u ∈ A tensork B be a…
David B. JaffeOct 12, 1994
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Coherent functors, with application to torsion in the Picard group
Let A be a commutative noetherian ring. Call a functor <<commutative A-algebras>> --> <<sets>> coherent if it can be built up (via iterated finite limits) from functors of the form B M…
David B. JaffeOct 12, 1994
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Applications of iterated curve blowup to set-theoretic complete intersections in P3
Let S, T be surfaces in P3. Suppose that S intersect T is set-theoretically a smooth curve C of degree d and genus g. Suppose that S and T have no common singular points. Then if C is not a complete…
David B. JaffeOct 12, 1994
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Flips of moduli spaces and transition formulas for Donaldson polynomial invariants of rational surfaces
We study the change of moduli spaces of Gieseker-semistable torsion free rank-2 sheaves on algebraic surfaces as we vary the polarizations. When the surfaces are rational with an effective…
Robert Friedman, Zhenbo QinOct 12, 1994
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Automorphisms and moduli spaces of varieties with ample canonical class via deformations of abelian covers
By a recent result of Viehweg, projective manifolds with ample canonical class have a coarse moduli space, which is a union of quasiprojective varieties. In this paper, we prove that there are…
Barbara Fantechi, Rita PardiniOct 11, 1994
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Variation of moduli spaces and Donaldson invariants under change of polarization
The paper determines the change of moduli spaces of rank 2 sheaves on surfaces with pg=0 under change of polarization and the corresponding change of the Donaldson invariants. In this revised…
Geir Ellingsrud, Lothar GöttscheOct 7, 1994
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Moduli of high rank Vector bundles over Surface
This is the revised version of our previous preprint. In this paper, we establish a generic smoothness result for moduli space of semistable sheaves of arbitrary rank over surfaces provided that the…
David Gieseker, Jun LiOct 6, 1994
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Moduli spaces Mg,n(W) for surfaces
We construct and prove the projectiveness of the moduli spaces which are natural generalizations to the case of surfaces of the following: 1) Mg,n, the moduli space of n-marked stable curves,…
Valery AlexeevOct 5, 1994
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