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Algebraic Geometry papers — page 42

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The Connectedness of Space Curve Invariants
It is a result of Gruson and Peskine that the invariants of a set points in in general position are connected. Associated to a space curve there are sequences of invariants which generalize…
Michele CookJan 28, 1994
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Stable triples, equivariant bundles and dimensional reduction
This is a resubmission of preprint 9401008 , which has some TeXnical errors introduced by the "reform" procedure (designed to avoid precisely these problems!). The original can be formatted…
Steven B. Bradlow, Oscar Garcia-PradaJan 25, 1994
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A blow-up construction and graph coloring
Given a graph G (or more generally a matroid embedded in a projective space), we construct a sequence of varieties whose geometry encodes combinatorial information about G. For example, the chromatic…
Paolo AluffiJan 25, 1994
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A common generalization of the Frölicher-Nijenhuis bracket and the Schouten bracket for symmetry multi vector fields
There is a canonical mapping from the space of sections of the bundle T M ST\ M to Ω(T M ; T(T M)). It is shown that this is a homomorphism on $Ω(M;TM) for the…
M. Dubois-Violette, P. W. MichorJan 25, 1994
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Stable cohomology of the mapping class group with symplectic coefficients and of the universal Abel-Jacobi map
This replacement corrects statement and proof of the main result. Also, a section on the universal Abel-Jacobi map has been added.
Eduard LooijengaJan 24, 1994
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Matrix identities connected with the jacobian conjecture
We give necessary and sufficient conditions, in the form of matrix identities, for a polynomial f in C[X,Y] to be a component of a polynomial automorphism of C2 and to be a component of a Keller…
Tadeusz KrasinńskiJan 21, 1994
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The Fundamental Group of Some Siegel Modular Threefolds
Let A be the moduli space of (1,p)-polarised abelian surfaces with a level structure, for p an odd prime. Let X be a desingularisation of any algebraic compactification of A. Then X is…
K. Hulek, G. K. SankaranJan 18, 1994
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Holomorphic functions on an algebraic group invariant under a Zariski-dense subgroup
Let G be complex linear-algebraic group, H a subgroup, which is dense in G in the Zariski-topology. Assume that G/[G,G] is reductive and furthermore that (1) G is solvable, or (2) the semisimple…
Joerg WinkelmannJan 16, 1994
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Binomial Ideals
We investigate the structure of ideals generated by binomials (polynomials with at most two terms) and the schemes and varieties associated to them. The class of binomial ideals contains many…
David Eisenbud, Bernd SturmfelsJan 11, 1994
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Enumeration of n-fold tangent hyperplanes to a surface
For each 1≤ n≤6 we present formulas for the number of n-nodal curves in an n-dimensional linear system on a smooth, projective surface. This yields in particular the numbers of rational…
Israel VainsencherDec 21, 1993
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Components of the Stack of Torsion-Free Sheaves of Rank 2 on Ruled Surfaces
Let S be a ruled surface without sections of negative self-intersection. We classify the irreducible components of the moduli stack of torsion-free sheaves of rank 2 sheaves on S. We also classify…
Charles H. WalterDec 20, 1993
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On the Harder-Narasimhan Filtration for Coherent Sheaves on P2: I
Let E be a torsion-free sheaf on P2. We give an effective method which uses the Hilbert function of E to construct a weak version of the Harder-Narasimhan filtration of a torsion-free sheaf on P2…
Charles H. WalterDec 20, 1993
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Rational curves on Calabi-Yau threefolds
This note is a survey of the enumerative geometry of rational curves on Calabi-Yau threefolds, based on a talk given by the author at the May 1991 Workshop on Mirror Symmetry at MSRI. An earlier…
Sheldon KatzDec 16, 1993
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On the Hyperbolicity of the Complements of Curves in Algebraic Surfaces: The Three Component Case
The paper is a contribution to the conjecture of Kobayashi that the complement of a generic curve in the projective plane is hyperbolic, provided the degree is at least five. Previously the authors…
Gerd Dethloff, Georg Schumacher, Pit-Mann WongDec 14, 1993
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Hyperbolicity of the complement of plane algebraic curves
The paper is a contribution of the conjecture of Kobayashi that the complement of a generic plain curve of degree at least five is hyperbolic. The main result is that the complement of a generic…
Gerd Dethloff, Georg Schumacher, Pit-Mann WongDec 14, 1993
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An algorithmic criterion for basicness in dimension 2
We give a constructive procedure to check basicness of open (or closed) semialgebraic sets in a compact, non singular, real algebraic surface X. It is rather clear that if a semialgebraic set S…
F. Acquistapace, F. Broglia, M. Pilar VelezDec 14, 1993
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On the Hilbert Schemes of Canonically-Embedded Curves of Genus 5 and 6
A canonically-embedded curve of genus g is a pure 1-dimensional, non-degenerate subscheme C of Pg-1 over an algebraically closed field k, for which OC(1) ωC, (the…
John LittleDec 10, 1993
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On Koszul property of the homogeneous coordinate ring of a curve
The following corollary has been added: for general tetragonal curve C of genus g 9 the homogeneous coordinate ring of C defined by the line bundle K(-T), where K is the canonical class,…
A. PolishchukDec 8, 1993
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Thickening Calabi-Yau moduli spaces
We describe a kind of deformation of the anti-DeRham algebra on a Calabi-Yau manifold X. These are in 1-1 correspondence with the total cohomology Hi (X, ).
Ziv RanDec 6, 1993
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The Functor of a Smooth Toric Variety
A map Y -> Pn is determined by a line bundle quotient of (OY)n+1. In this paper, we generalize this description to the case of maps from Y to an arbitrary smooth toric variety. The data needed…
David A. CoxDec 3, 1993
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Complete ideals defined by sign conditions and the real spectrum of a two-dimensional local ring
This paper is about the local geometry of a real surfaces. It introduces machinery for studying families of subsets which are determined by conditions which are similar to base conditions, but also…
Dean Alvis, Bernard Johnston, James MaddenDec 3, 1993
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Remarks on Ein-Lazarsfeld criterion of spannedness of adjoint bundles of polarized threefolds
Let B be a nef and big line bundle on a smooth complex threefold X with canonical bundle K. Let x be a point on X and suppose that BC3 for any curve C passing x, B2S7 for any surface S…
Takao FujitaNov 30, 1993
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On the Topological Classification of Real Enriques Surfaces. I
This note contains preliminary calculation of topological types or real Enriques surfaces. We realize 59 topological types of real Enriques surfaces (Theorem 6) and show that all other topological…
Viacheslav V. NikulinNov 28, 1993
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On the Brauer Group of Real Algebraic Surfaces
Let X be a real projective algebraic manifold, s numerates connected components of X(R) and 2Br(X) the subgroup of elements of order 2 of the cohomological Brauer group Br(X). We study the natural…
Viacheslav V. NikulinNov 28, 1993
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On Brauer Groups of Real Enriques Surfaces
Let Y be a real Enriques surface, 2Br(Y) the subgroup of elements of order 2 of Br(Y), and s, sor, and snor the number of all connected, connected orientable, and connected non-orientable…
V. V. Nikulin, R. SujathaNov 28, 1993
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