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Algebraic Geometry papers — page 34

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Embeddings of homogeneous spaces in prime characteristics
Let G be a reductive linear algebraic group. The simplest example of a projective homogeneous G-variety in characteristic p, not isomorphic to a flag variety, is the divisor $x0 y0p+x1…
Niels LauritzenFeb 16, 1995
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Fundamental groups of complements of curves as solvable groups
We discuss the applications of fundamental groups (of complements of curves) computations (and possibly the computations of the second homotopy group as a model over it) to the classification of…
Boris Moishezon, Mina TeicherFeb 16, 1995
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Self-intersection of dualizing sheaves of arithmetic surfaces with reducible fibers
Let K be an algebraic number field and OK the ring of integers of K. Let f : X --> Spec(OK) be a stable arithmetic surface over OK of genus g >= 2. In this short note, we will prove that if f has…
Atsushi MoriwakiFeb 16, 1995
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Abelian automorphism groups of threefolds of general type
This thesis is devoted to the study of abelian automorphism groups of surfaces and 3-folds of general type over complex number field C. We obtain a linear bound in K3 for abelian…
Jin-Xing CaiFeb 15, 1995
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k-very ample line bundles on Del Pezzo Surfaces
A k-very ample line bundle L on a Del Pezzo Surface is numerically characterized. We find that the set of the exceptional curves and effective divisors with selfintersection zero, S, plays a…
Sandra Di RoccoFeb 15, 1995
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Operads, Grothendieck topologies and Deformation theory
The idea of the work is to find an invariant way to pass from deformation theory to cohomology, which does not use any explicit cocycles. The appropriate cohomology theory is based on considering…
D. GaitsgoryFeb 14, 1995
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Height inequality of algebraic points on curves over functional fields
The purpose of this paper is to give a linear and effective height inequality for algebraic points on curves over functional fields. Our height inequality can be viewed as the logarithmic canonical…
Sheng-Li TanFeb 14, 1995
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Braid Group techniques in Complex Geometry V: The fundamental group of the complement of a Veronese generic projection
Computation of the fundamental group of the complement in the complex plane of the branch curve S , of a generic projection of the Veronese surface to the plane is presented. This paper is a…
Mina Teicher, Boris MoishezonFeb 14, 1995
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On singularities of MI\!\! P3(c1,c2)
Let MI\!\! P3(c1,c2) be the moduli space of stable rank-2 vector bundles on I\!\! P3 with Chern classes c1, c2. We prove the following results. 1) Let 0 β< γ be two…
Vincenzo Ancona, Giorgio OttavianiFeb 13, 1995
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Log Sarkisov Program
The purpose of this paper is two-fold. The first is to give a tutorial introduction to the Sarkisov program, a 3-dimensional generalization of Castelnuovo-Nöther Theorem ``untwisting" birational…
Andrea Bruno, Kenji MatsukiFeb 10, 1995
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Homology of moduli spaces of curves and commutative homotopy algebras
We propose an explicit relation between the cohomology of compactified and noncompactified moduli spaces of algebraic curves with punctures. This relationship generalizes one between commutative…
Takashi Kimura, Jim Stasheff, Alexander A. VoronovFeb 8, 1995
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Mirror symmetry for lattice polarized K3 surfaces
We establish a relationship between mirror symmetry for K3 surfaces and Arnold's strange duality for K3 surfaces. We compute various examples of mirror families. Among them the mirror moduli…
Igor V. DolgachevFeb 7, 1995
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Duality of Weights, Mirror Symmetry and Arnold's Strange Duality
A notion of duality of weight systems which corresponds to Batyrev's toric mirror symmetry is given. Explicit duality on the (1,1)-cohomology of K3 surfaces which are minimal models of toric…
Masanori KobayashiFeb 6, 1995
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A Calabi-Yau threefold with non-Abelian fundamental group
The title is self-explanatory.
Arnaud BeauvilleFeb 3, 1995
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A Generalization of the Kodaira Vanishing and Embedding Theorem
We give several generalizations of the Kodaira vanishing and embedding theorems for Kähler manifolds to the case where the relevent line bundle has a small region of negative curvature. To prove the…
Ying ZhuFeb 2, 1995
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A sextic surface cannot have 66 nodes
Let S be a surface in complex projective 3-space, having only nodes as singularities. Suppose that S has degree 6. We show that the maximum number of nodes which S can have is 65. An abbreviated…
David B. Jaffe, Daniel RubermanFeb 1, 1995
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The motive of some moduli spaces of vector bundles over a curve
We study the motive of the moduli spaces of semistable rank two vector bundles over an algebraic curve. When the degree is odd the moduli space is a smooth projective variety, we obtain the absolute…
Sebastian del Bano RollinJan 31, 1995
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On the homogeneous ideal of a projective nonsingular toric variety
Reason for withdrawal: There is a serious mistake in the calculation of the divisor of the rational section used in the proof of Prop. 2.2.1., and with the correct value the argument does not work.
Rikard BögvadJan 20, 1995
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Some homogeneous coordinate rings that are Koszul algebras
Using reduction to positive characteristic and the method of Frobenius splitting of diagonals, due to Mehta and Ramanathan, it is shown that homogeneous coordinate rings for either proper and smooth…
Rikard BögvadJan 20, 1995
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On the tautological ring of g
We prove among other things that any product of tautological classes of g of degree d (in the Chow ring of g with rational coefficients) vanishes for d>g-2 and is proportional to the…
Eduard LooijengaJan 20, 1995
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Plane Curves with Hyperbolic and C-hyperbolic Complements
The general problem which initiated this work is: What are the quasiprojective varieties which can be uniformized by means of bounded domains in n ? Such a variety should be, in particular,…
Gerd Dethloff, Mikhail ZaidenbergJan 17, 1995
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On the Hilbert scheme of curves in higher-dimensional projective space
In this paper we prove that, for any n 3, there exist infinitely many r∈ and for each of them a smooth, connected curve Cr in ¶r such that Cr lies on exactly n irreducible…
Barbara Fantechi, Rita PardiniJan 17, 1995
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Quantum cohomology of complete intersections
The quantum cohomology algebra of a projective manifold X is the cohomology H(X,Q) endowed with a different algebra structure, which takes into account the geometry of rational curves in X. We show…
Arnaud BeauvilleJan 17, 1995
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Boundary behaviour of Hurwitz schemes
Actions of finite groups on stable curves are studied. They appear naturally at the boundary of a moduli space of smooth curves with group actions. Those actions which can equivariantly smoothed are…
Torsten EkedahlJan 16, 1995
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An improved bound for the degree of smooth surfaces in P4 not of general type.
This is an addendum to the paper of Braun and Fløystad ([BF]) on the bound for the degree of a smooth surface in not of general type. Using their construction and the regularity of curves in…
Michele CookJan 16, 1995
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