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Algebraic Geometry papers — page 8

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Simplex, associahedron, and cyclohedron
The aim of the paper is to give an `elementary' introduction to the theory of modules over operads and discuss three prominent examples of these objects - simplex, associahedron (= the Stasheff…
Martin MarklJul 9, 1997
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Symplectic Deformations of Calabi-Yau threefolds
This manuscript from August 1995 (revised February 1996) studies the Kaehler cone of Calabi-Yau threefolds via symplectic methods. For instance, it is shown that if two Calabi-Yau threefolds are…
P. M. H. WilsonJul 9, 1997
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The intrinsic complexity of parametric elimination methods
This paper is devoted to the complexity analysis of a particular property, called "algebraic robustness" owned by all known symbolic methods of parametric polynomial equation solving…
J. Heintz, G. Matera, L. M. Pardo et al.Jul 9, 1997
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Irreducibility of M0,n(G/P,β)
Let G be a linear algebraic group, P be a parabolic subgroup of G and βbe a cycle of dimension 1 in the Chow group of the quotient G/P. Using geometric arguments and Borel's fixed point theorem,…
Jesper Funch ThomsenJul 9, 1997
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Principal G-bundles over elliptic curves
Let G be a simple and simply connected complex Lie group. We discuss the moduli space of holomorphic semistable principal G bundles over an elliptic curve E. In particular we give a new proof…
Robert Friedman, John W. Morgan, Edward WittenJul 7, 1997
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GKZ Systems, Gröbner Fans and Moduli Spaces of Calabi-Yau Hypersurfaces
We present a detailed analysis of the GKZ(Gel'fand, Kapranov and Zelevinski) hypergeometric systems in the context of mirror symmetry of Calabi-Yau hypersurfaces in toric varieties. As an…
S. HosonoJul 3, 1997
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Stable pairs and log flips
This paper has two parts. In the first part, we review stable pairs and triples on curves, leading up to Thaddeus' diagram of flips and contractions starting from the blow-up of projective space…
Aaron BertramJul 1, 1997
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An Application of a Log Version of the Kodaira Vanishing Theorem to Embedded Projective Varieties
Given an embedded smooth projective variety Y in CPn, we show how the existence of a hypersurface with high multiplicity along Y, but of relatively low degree and log canonical near Y implies…
Aaron BertramJul 1, 1997
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The Deligne-Lusztig curve associated to the Suzuki group
We give a characterization of the Deligne-Lusztig curve associated to the Suzuki group based on the genus and the number of rational points of the curve.
Fernando TorresJun 26, 1997
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Solvable fundamental groups of algebraic varieties and Kähler manifolds
This is a long overdue write up of the following: If the fundamental group of a normal complex algebraic variety (respectively Zariski open subset of a compact Kähler manifold) is a solvable group of…
Donu Arapura, Madhav NoriJun 24, 1997
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Painlevé - Calogero correpondence
It is proved that the Painlevé VI equation (PVI,,,) for the special values of constants (=ν24,=-ν24, =ν24,=12-ν24) is a…
A. Levin, M. OlshanetskyJun 24, 1997
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Prym varieties and the infinite Grassmannian
In this paper we study Prym varieties and their moduli space using the well known techniques of the infinite Grassmannian. There are three main results of this paper: a new definition of the BKP…
Francisco J. Plaza MartínJun 24, 1997
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A Vanishing Result for the Universal Bundle on a Toric Quiver Variety
Let Q be a finite quiver without oriented cycles. Denote by U --> M the fine moduli space of stable thin sincere representations of Q with respect to the canonical stability notion. We prove…
Klaus Altmann, Lutz HilleJun 23, 1997
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Drinfeld Moduli Schemes and Infinite Grassmannians
The aim of this paper is to construct an immersion of the Drinfeld moduli schemes in a finite product of infinite Grassmannians, such that they will be locally closed subschemes of these…
Arturo Alvarez VazquezJun 20, 1997
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Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians
We describe algorithms for computing the intersection numbers of divisors and of Chern classes of the Hodge bundle on the moduli spaces of stable pointed curves. We also discuss the implementations…
Carel FaberJun 17, 1997
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Géométrie d'Arakelov des variétés toriques et fibrés en droites intégrables
En nous appuyant sur une construction due à Bedford et Taylor, et certains résultats récents de Demailly, nous présentons une extension (partielle) de la géométrie d'Arakelov aux fibrés en…
V. MaillotJun 16, 1997
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Numerical Schubert calculus
We develop numerical homotopy algorithms for solving systems of polynomial equations arising from the classical Schubert calculus. These homotopies are optimal in that generically no paths diverge.…
Birkett Huber, Frank Sottile, Bernd SturmfelsJun 10, 1997
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Intersection Numbers and Rank One Cohomological Field Theories in Genus One
We obtain a simple, recursive presentation of the tautological (κ, ψ, and λ) classes on the moduli space of curves in genus zero and one in terms of boundary strata (graphs). We derive differential…
Alexandre Kabanov, Takashi KimuraJun 5, 1997
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Subgroups of inertia groups arising from abelian varieties
Given an abelian variety over a field with a discrete valuation, Grothendieck defined a certain open normal subgroup of the absolute inertia group. This subgroup encodes information on the extensions…
A. Silverberg, Yu. G. ZarhinJun 3, 1997
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Generalization of Arnold-Viro inequalities for real singular algebraic curves
The Arnold inequalities characterizing the topology of non-singular plane real algebraic curves and the generalization of these inequalities for nodal curves by Viro are extended in this paper for…
Sergey FinashinJun 3, 1997
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Through the Looking Glass
It is frequently possible to produce new Calabi-Yau threefolds from old ones by a process of allowing the complex structure to degenerate to a singular one, and then performing a resolution of…
David R. MorrisonMay 30, 1997
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An application of exceptional bundles to the moduli of stable sheaves on a K3 surface
Let M(v) be the moduli of stable sheaves on K3 surfaces X of Mukai vector v. If v is primitive, than it is expected that M(v) is deformation equivalent to some Hilbert scheme and weight two hogde…
Kota YoshiokaMay 29, 1997
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Minimal model theorem for toric divisors
Minimal model conjecture for a proper variety X is that if κ(X)≥ 0, then X has a minimal model with the abundance and if κ=-∞, then X is birationally equivalent to a variety Y…
Shihoko IshiiMay 29, 1997
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Compact Hyperkaehler Manifolds: Basic Results
The paper generalizes some of the well-known results for K3 surfaces to higher-dimensional irreducible symplectic (or, equivalently, compact irreducible hyperkaehler) manifolds. In particular, we…
D. HuybrechtsMay 28, 1997
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Quantum multiplication of Schur polynomials
We give formulas for the products of classes of Schubert varieties in the quantum cohomology rings of Grassmannians, in terms of the combinatorics of partitions and tableaux.
Aaron Bertram, Ionut Ciocan-Fontanine, William FultonMay 28, 1997
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