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Algebraic Geometry papers — page 38

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Topology of Conjugate Varieties
Serre and Abelson have produced examples of non-homeomorphic conjugate varieties. We show that if the field of definition of a polarized projective variety coincides with its field of moduli then all…
David ReedOct 5, 1994
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Strong McKay Correspondence, String-theoretic Hodge Numbers and Mirror Symmetry
In the revised version of the paper, we correct misprints and add some new statements.
Victor V. Batyrev, Dimitrios I. DaisOct 4, 1994
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Chamber structure of polarizations and the moduli of stable sheaves on a ruled surface
In this paper we shall generalize the chamber structure of polarizations defined by Qin, and as an application we shall compute the Picard groups of moduli spaces of stable sheaves on a non-rational…
Kōta YoshiokaOct 1, 1994
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Counting twisted cubic curves on general complete intersections
This paper has been rendered obsolete by our newer eprint alg-geom/9411005 "Bott's formula and enumerative geometry", which is a considerably expanded version of the same paper, in spite…
G. Ellingsrud, S. A. StrømmeSep 29, 1994
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Semistable sheaves on Del Pezzo surfaces and Kronecker modules
In this paper we deal with semistable sheaves which can be represented as the cokernel of an injective (or as the kernel of a surjective) morphism E1m E2n ,…
B. V. KarpovSep 29, 1994
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Non-symmetric orthogonal geometry of Grothendieck rings of coherent sheaves on projective spaces
In this paper we consider orthogonal geometry of the free -module K0(n) with respect to the non-symmetric unimodular bilinear form χ(E,F)=Σ (-1)νν(E,F). …
A. L. GorodentsevSep 27, 1994
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Riemann reciprocity in higher dimensions
The reciprocity law for abelian differentials of first and second kind is generalized to higher-dimensional varieties. It is shown that H1(V) of a polarized variety V is encoded in the Laurent…
Yakov KarpishpanSep 9, 1994
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Variation of the Gieseker and Uhlenbeck Compactifications
In this article, we study the variation of the Gieseker and Uhlenbeck compactifications of the moduli spaces of Mumford-Takemoto stable vector bundles of rank 2 by changing polarizations. Some …
Yi Hu, Wei-Ping LiSep 9, 1994
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Dynkin Graphs and Triangle Singularities
We treat nine of fourteen triangle singularities in Arnold's classification list of singularities. We consider what kind of combinations of rational double points can appear on their small…
Tohsuke UrabeSep 3, 1994
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The Number of Rational Quartics on Calabi-Yau hypersurfaces in Weighted Projective Space P(2,14)
We compute the number of rational quartics on a general Calabi-Yau hypersurface in weighted projective space P(2,14). The result agrees with the prediction made by mirror symmetry.
Paul MeurerSep 2, 1994
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Lectures on Linear Series
The past decade has witnessed two important new developments in the study of linear series on algebraic varieties. First, vector bundles have emerged as powerful tools for analyzing linear series on…
Robert LazarsfeldAug 31, 1994
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Rationality of the Moduli Variety of Curves of Genus 3
We prove rationality of the moduli variety of curves of genus 3.
P. KatsyloAug 30, 1994
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Ternary quartics and 3-dimensional commutative algebras
We find the connection between 3-dimensional commutative algebras with a trivial trace and plane quartics and its bitangents.
P. Katsylo, D. MikhailovAug 30, 1994
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Various Notions of Associated Prime Ideals
Three notions of associated prime ideals, which are equivalent in the noetherian case but differ in the non notherian case, are discussed. Examples illustrate the scope of the notions.
Robert W. BergerAug 29, 1994
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A surface of general type with \( pg =q =0, K2 =1 \)
We construct a surface of general type with invariants \( χ= K2 = 1 \) and torsion group \( Z/2 \). We use a double plane construction by finding a plane curve with certain singularities,…
Caryn WernerAug 24, 1994
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On Landsberg's criterion for complete intersections
In his preprint ``Differential-Geometric Characterizations of Complete Intersections'' (alg-geom/9407002), J.M.Landsberg introduces an elementary characterization of complete intersections.…
S. L'vovskyAug 24, 1994
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Moduli of Brill-Noether pairs on algebraic curves
We construct coarse moduli spaces for `Brill-Noether pairs'. Such a pair consists of a torsion-free sheaf E over an algebraic curve X and a vector subspace Λ of its space of sections…
A. D. King, P. E. NewsteadAug 10, 1994
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Cubics, Integrable Systems, and Calabi-Yau Threefolds
In this work we construct an analytically completely integrable Hamiltonian system which is canonically associated to any family of Calabi-Yau threefolds. The base of this system is a moduli space of…
Ron Donagi, Eyal MarkmanAug 9, 1994
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Local Positivity of Ample Line Bundles
Let L be a nef line bundle on a smooth complex projective variety X of dimension n. Demailly has introduced a very interesting invariant --- the Seshadri constant ε(L,x) --- which in effect…
Lawrence Ein, Oliver Küchle, Robert LazarsfeldAug 9, 1994
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H-cohomologies versus algebraic cycles
Global intersection theories for smooth algebraic varieties via products in appropriate\, Poincaré duality theories are obtained. We assume given a (twisted) cohomology theory H* having a…
Luca Barbieri-VialeAug 8, 1994
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Hodge numbers of moduli spaces of stable bundles on K3 surfaces
We show that the Hodge numbers of the moduli space of stable rank two sheaves with primitive determinant on a K3 surface coincide with the Hodge numbers of an appropriate Hilbert scheme of points on…
Lothar Goettsche, Daniel HuybrechtsAug 4, 1994
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On certain N--sheeted coverings and numerical semigroups which cannot be realized as Weierstrass semigroups
A curve X is said to be of type (N,γ) if it is an N--sheeted covering of a curve of genus γ with at least one totally ramified point. A numerical semigroup H is said to be of type…
Fernando TorresJul 26, 1994
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Complex monodromy and the topology of real algebraic sets
We study the Euler characteristic of the real Milnor fibres of a real analytic map, using a relation between complex monodromy and complex conjugation. We deduce the result of Coste and Kurdyka that…
Clint McCrory, Adam ParusinskiJul 19, 1994
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Real Grassmann Polylogarithms and Chern Classes
In this paper we define real grassmann polylogarithms, which are real single valued analogues of the grassmann polylogarithms (or higher logarithms) defined by Hain and MacPherson. We prove the…
Richard Hain, Jun YangJul 18, 1994
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Mordell-Weil problem for cubic surfaces
Drawing the secant through two rational points of a cubic surface we can get the third one. Is the set of rational points finitely generated? We discuss some numerical data and prove a finite…
Yu. I. ManinJul 15, 1994
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