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Algebraic Geometry papers — page 9

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On surfaces in P6 with no trisecant lines
We construct examples of smooth surfaces S in P6 with no trisecant lines. This list includes examples of surfaces not cut out by quadrics. We prove that unless S has a finite number of disjoint…
Sandra Di Rocco, Kristian RanestadMay 25, 1997
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Values of zeta functions at negative integers, Dedekind sums and toric geometry
This is an expanded version. We study relations among special values of zeta functions, invariants of toric varieties, and generalized Dedekind sums. In particular, we use invariants arising in the…
Stavros Garoufalidis, James PommersheimMay 23, 1997
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Curves in Grassmannians
This paper considers curves in Grassmannians which are themselves immersed in projective space by the Plucker map. It is shown that for a generic vector bundle of high enough degree, the image curve…
Montserrat Teixidor-i-BigasMay 22, 1997
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On Lange's Conjecture
Let C be an algebraic curve of genus g. Let E be a vector bundle of rank n and degree d. Consider among all subbundles F' of E of rank n' those of maximal degree d'. Then sn'(E)=…
Montserrat Teixidor-i-BigasMay 22, 1997
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Constructing new ample divisors out of old ones
We prove a gluing theorem which allows to construct an ample divisor on a rational surface from two given ample divisors on simpler surfaces. This theorem combined with the Cremona action on the…
Paul BiranMay 21, 1997
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Stable extensions by line bundles
Let C be an algebraic curve of genus g. Consider extensions E of a vector bundle F'' of rank n'' by a vector bundle F' of rank n'. The following statement was conjectured by…
Montserrat Teixidor-i-BigasMay 21, 1997
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A geometric construction of Getzler's relation
A geometric construction of Getzler's cohomological relation in the moduli space of 4 pointed elliptic curves is given by a push-forward of a natural rational equivalence in a space of admissible…
Rahul PandharipandeMay 17, 1997
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Boundedness for codimension two submanifolds of quadrics
Arrondo, Sols and De Cataldo proved that there are only finitely many families of codimension two subvarieties not of general type in the smooth quadric of dimension n+2 for n 2 , n≠ 4.…
Lucia Fania, Giorgio OttavianiMay 15, 1997
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Riemann-Roch theorems via deformation quantization
We give a proof of a conjecture of P. Schapira and J.-P. Schneiders on the characteristic classes of D-modules.
P. Bressler, R. Nest, B. TsyganMay 13, 1997
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Identities of Structure Constants for Schubert polynomials and Orders on Sn
We use geometry to prove a number of new identities among the Littlewood-Richardson coefficients for Schubert polynomials (Schubert classes in a flag manifold). For many of these identities, there is…
Nantel Bergeron, Frank SottileMay 12, 1997
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Existence of good divisors on Mukai varieties
A Mukai variety is a Fano n-fold of index n-2. In this paper we study the fundamental divisor of a Mukai variety with at worst log terminal singularities. The main result is a complete classification…
Massimiliano MellaMay 9, 1997
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On the Pontrjagin-Viro form
A new invariant, the Pontrjagin-Viro form, of algebraic surfaces is introduced and studied. It is related to various Rokhlin-Guillou-Marin forms and generalizes Mikhalkin's complex separation.…
Alexander DegtyarevMay 9, 1997
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On the rationality of SU(r,d)
Let SU(r,d) be the moduli space of rank r, degree d vector bundles over a smooth projective curve of genus g 2. If (r,d)=1 and d divides r+1, then SU is rational. Furthermore, if 0<δ< r and…
David C. ButlerMay 7, 1997
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Seiberg-Witten integrable systems
This is a survey of the work of Seiberg and Witten on 4-dimensional N=2 supersymmetric Yang-Mills theory and of some of its recent extensions, written for mathematicians. The point of view is that of…
Ron Y. DonagiMay 7, 1997
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Birational maps of moduli of Brill-Noether pairs
Let C be a smooth projective irreducible curve of genus g. And let Gα(n,d,l) be the moduli space of α stable pairs of a vector bundle of n, °d and a subspace of H0(C,E) of $ =…
David C. ButlerMay 7, 1997
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Some notes on the moduli of stable sheaves on elliptic surfaces
Under some assumptions, we compute the Picard group of moduli of stable sheaves on Abelian surfaces. Considering relative moduli spaces, it is sufficient to consider the moduli of stable sheaves on…
Kota YoshiokaMay 6, 1997
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Mixed twistor structures
The purpose of this paper is to introduce the notion of mixed twistor structure, a generalization of the notion of mixed Hodge structure. The utility of this notion is to make possible a theory of…
Carlos SimpsonMay 5, 1997
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A base point free theorem for log canonical surfaces
We prove a base point free theorem for nef and log big divisors on log canonical surfaces.
Shigetaka FukudaMay 3, 1997
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Trianalytic subvarieties of the Hilbert scheme of points on a K3 surface
Let X be a hyperkaehler manifold. Trianalytic subvarieties of X are subvarieties which are complex analytic with respect to all complex structures induced by the hyperkaehler structure. Given a K3…
Misha VerbitskyMay 2, 1997
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Fourier-Mukai transforms for elliptic surfaces
We compute a large number of moduli spaces of stable bundles on a general algebraic elliptic surface using a new class of Fourier-Mukai type transforms.
Tom BridgelandMay 1, 1997
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The Singular Supports of IC sheaves on Quasimaps' Spaces are Irreducible
Let C be a smooth projective curve of genus 0. Let B be the variety of complete flags in an n-dimensional vector space V. Given an (n-1)-tuple α∈ N[I] of positive integers one can…
Michael Finkelberg, Alexander Kuznetsov, Ivan MirkovićMay 1, 1997
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Generalized Fourier-Mukai Transforms
The paper sets out a generalized framework for Fourier-Mukai transforms and illustrates their use via vector bundle transforms. A Fourier-Mukai transform is, roughly, an isomorphism of derived…
Antony MaciociaMay 1, 1997
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Mirror symmetry on K3 surfaces via Fourier-Mukai transform
We use a relative Fourier-Mukai transform on elliptic K3 surfaces X to describe mirror symmetry. The action of this Fourier-Mukai transform on the cohomology ring of X reproduces relative…
Claudio Bartocci, Ugo Bruzzo, Daniel Hernandez Ruiperez et al.Apr 29, 1997
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A simply connected numerical Godeaux surface with ample canonical class
We prove that a recent construction of a numerical Godeaux surface due to P. Craighero and R. Gattazzo is simply connected, and show how to realize their construction as a double plane. By proving…
I. Dolgachev, C. WernerApr 25, 1997
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Le probleme de Brill-Noether pour des fibres stables de petites pentes
We deal with the Brill-Noether problem for stable vector bundles of slope between one and two.
Vincent MercatApr 24, 1997
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