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Algebraic Geometry papers — page 36

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Higher l-adic Abel-Jacobi mappings and filtrations on Chow groups
We define a filtration on the Chow groups of a smooth projective variety X over a field k by using the cycle map into continuous l-adic etale cohomology. The main theorem says that if k is a function…
Wayne M. RaskindDec 2, 1994
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Mirror symmetry and moduli spaces of superconformal field theories
We review the applications of mirror symmetry to the study of the moduli spaces of two-dimensional conformal field theories with N=(2,2) supersymmetry, particularly those constructed from…
David R. MorrisonNov 30, 1994
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Homological Algebra of Mirror Symmetry
This is my talk at ICM, Zurich 1994. It contains a short introduction, two basic examples and a refined version of the Mirror Conjecture formulated in terms of homological algebra.
Maxim KontsevichNov 30, 1994
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Bounding the order of automorphisms of certain curves
We study upper bounds on the order of automorphisms of non-singular curves X satisfying at least one of the following hypothesis: 1) X is an m-sheeted covering of exactly one non-singular curve…
Fernando TorresNov 28, 1994
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Prym Varieties and the Moduli of Spin Bundles
We show that the Verlinde formula for moduli spaces of spin bundles on an algebraic curve gives dimensions of direct sums of spaces of theta functions over the finite set of Prym varieties of…
W. M. OxburyNov 28, 1994
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Uniformity of rational points over all quadratic fields
We refine a result of L. Caporaso, J. Harris and B. Mazur, and prove: Supposons que la conjecture de Lang soit vraie. Soit K un corps des nombres et g>1 un entier. Il existe un nombre N(K,g)…
Dan AbramovichNov 24, 1994
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A Borel-Weil Theorem for Schur Modules
We present a generalization of the classical Schur modules of GL(N) exhibiting the same interplay among algebra, geometry, and combinatorics. A generalized Young diagram D is an arbitrary finite…
Peter MagyarNov 21, 1994
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A New Approach to Characterise all the Transitive Orientations for an Undirected Graph
A new approach to find all the transitive orientations for a comparability graph (finite or infinite) is presented. This approach is based on the link between the notion of ``strong''…
A. Belkasri, M. HamadeNov 18, 1994
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On sextic surfaces having only nodes (preliminary report)
Let S be a surface in CP3, having only nodes as singularities. Let pi: S~ --> S be a minimal resolution of singularities. A set N of nodes on S is EVEN if there exists a divisor Q on S~ such that 2Q…
David B. JaffeNov 17, 1994
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Classification of Varieties with Canonical Curve Section via Gaussian maps on Canonical Curves
Let C ⊂ Pg-1 be a smooth canonical curve of genus g ≥ 3. The purpose of this article is to further develop a method to classify varieties having C as their curve section, using…
C. Ciliberto, A. Lopez, R. MirandaNov 16, 1994
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The McKay correspondence for finite subgroups of SL(3,)
This is the final draft, containing very minor proof-reading corrections. Let G in SL(n,) be a finite subgroup and : Y -> X = n/G any resolution of singularities of the quotient space. We…
Yukari Ito, Miles ReidNov 16, 1994
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Rational Points of Bounded Height on Compactifications of Anisotropic Tori
We investigate the analytic properties of the zeta-function associated with heights on equivariant compactifications of anisotropic tori over number fields. This allows to verify conjectures about…
Victor V. Batyrev, Yuri TschinkelNov 15, 1994
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On the Corank of Gaussian Maps for General Embedded K3 Surfaces
Let Sg be a general prime K3 surface in Pg of genus g ≥ 3 or a general double cover of P2 ramified along a sextic curve for g = 2 and S = Si,g its i-th Veronese…
C. Ciliberto, A. Lopez, R. MirandaNov 15, 1994
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Conformal Differential Forms of an Analytic Germ
A differential form vanishing on the tangent space at smooth points of a reduced embedded analytic germ is called conormal. For proving that a conormal one--form of a hypersurface vanishes at its…
Robert GasslerNov 12, 1994
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Logarithmic Embeddings and Logarithmic Semistable Reductions
In this paper, we give a criterion for the existence of logarithmic embeddings -- which was first introduced by Steenbrink -- for general normal crossing varieties. Using this criterion, we also give…
Fumiharu KatoNov 11, 1994
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Bott's formula and enumerative geometry
We outline a strategy for computing intersection numbers on smooth varieties with torus actions using a residue formula of Bott. As an example, Gromov-Witten numbers of twisted cubic and elliptic…
G. Ellingsrud, S. A. StrømmeNov 10, 1994
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Operads and moduli spaces of genus 0 Riemann surfaces
We study a pair of dual operads which arise in the study of moduli spaces of pointed genus 0 curves (this duality is similar to that between commutative and Lie algebras). These operads are both…
Ezra GetzlerNov 9, 1994
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On the invariants of base changes of pencils of curves, II
In this part of the series, we shall investigate Deligne-Mumford semistable reductions from the point of view of numerical invariants. As an application, we obtain two numerical criterions for a base…
Sheng-Li TanNov 8, 1994
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The minimal number of singular fibers of a semistable curves over P1
In this paper, we shall prove Beauville's conjecture: if f:S P1 is a non-trivial semistable fibration of genus g>1, then f admits at least 5 singular fibers. We have also constructed an…
Sheng-Li TanNov 8, 1994
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Towards a separation theorem of points by adjoint linear systems on polarized threefolds
Main Result: Let (M,L) be a smooth complex polarized threefold. Then the linear system | K+tL| separates any two different points on M for any t 6, where K is the canonical bundle of…
Takao FujitaNov 8, 1994
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The geometry of A-graded algebras
We study algebras k[x1,...,xn]/I which admit a grading by a subsemigroup of Nd such that every graded component is a one-dimensional k-vector space. V.I.~Arnold and coworkers proved that for d = 1…
Bernd SturmfelsOct 31, 1994
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On the Picard group: torsion and the kernel
For a homomorphism f: A --> B of commutative rings, let D(A,B) denote Ker[Pic(A) --> Pic(B)]. Let k be a field and assume that A is a f.g. k-algebra. We prove a number of finiteness results for…
Robert Guralnick, David Jaffe, Wayne Raskind et al.Oct 31, 1994
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Self-linking number of a real algebraic link
For a nonsingular real algebraic curve in the 3-dimensional projective space and sphere a new numeric characteristic is introduced. It takes integer values, is invariant under rigid isotopy,…
Oleg ViroOct 30, 1994
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Contractions on a manifold polarized by an ample vector bundle
A complex manifold X of dimension n together with an ample vector bundle E on it will be called a generalized polarized variety. The adjoint bundle of the pair (X,E) is the line bundle…
M. Andreatta, M. MellaOct 27, 1994
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Quantum Cohomology of Rational Surfaces
In this article formulas for the quantum product of a rational surface are given, and used to give an algebro-geometric proof of the associativity of the quantum product for strict Del Pezzo…
Bruce Crauder, Rick MirandaOct 27, 1994
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