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Algebraic Geometry papers — page 29

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Remarks on Seshadri constants
Given a smooth complex projective variety X and an ample line bundle L on X. Fix a point x∈ X. We consider the question, are there conditions which guarantee the maxima of the Seshadri…
Andreas SteffensJul 9, 1995
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A note on scrolls of smallest embedded codimension
Let M be a submanifold of PN of dimension n>2. Suppose that (M, OM(1)) P( E), O(1)) for some vector bundle E on a surface S. Then N 2n-1…
Takao FujitaJul 7, 1995
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On the diffeomorphism groups of elliptic surfaces
In this paper we determine for relatively minimal elliptic surfaces with positive Euler number the image of the natural representation of the group of orientation preserving self-diffeomorphisms on…
Michael L"onneJul 7, 1995
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A Noether-Lefschetz theorem for vector bundles
In this note we use the monodromy argument to prove a Noether-Lefschetz theorem for vector bundles.
Jeroen G. SpandawJul 7, 1995
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On the number of singular points of plane curves
This is an extended, renovated and updated report on a joint work which the second named author presented at the Conference on Algebraic Geometry held at Saitama University, 15-17 of March, 1995. The…
S. Orevkov, M. ZaidenbergJul 7, 1995
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On a class of rational cuspidal plane curves
We obtain new examples and the complete list of the rational cuspidal plane curves C with at least three cusps, one of which has multiplicity deg\,C - 2. It occurs that these curves are…
H. Flenner, M. ZaidenbergJul 7, 1995
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The line bundles on the stack of parabolic G-bundles over curves and their sections
Let X be a smooth, complete and connected curve and G be a simple and simply connected algebraic group over . We calculate the Picard group of the moduli stack of quasi-parabolic…
Yves Laszlo, Christoph SorgerJul 5, 1995
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General n-canonical divisors on two-dimensional smoothable semi-log-terminal singularities
In this paper we calculate genaral n-canonical divisors on smoothable semi-log-terminal singularities in dimension 2, in other words, the full sheaves associated to the double dual of the nth tensor…
Masayuki IwamotoJul 4, 1995
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On triple coverings of irrational curves
Given a triple covering X of genus g of a general (in the sense of Brill-Noether) curve C of genus h, we show the existence of base-point-free pencils of degree d which are not composed…
Takao Kato, Changho Keem, Akira OhbuchiJul 3, 1995
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Automorphisms of crepant resolutions for quotient spaces
A formula for calculating the Lefschetz number of an automorphism acting on a crepant resolution for a quotient of a Kahler manifold derived from an equivariant version of McKay correspondence. The…
A. LibgoberJun 29, 1995
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Stacks of Stable Maps and Gromov-Witten Invariants
We correct some errors in the earlier version of this paper. Most importantly, the definition of isogeny of marked stable graphs has changed.
K. Behrend, Yu. ManinJun 27, 1995
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Residues in Toric Varieties
We study residues on a complete toric variety X, which are defined in terms of the homogeneous coordinate ring of X. We first prove a global transformation law for toric residues. When the fan of the…
Eduardo Cattani, David Cox, Alicia DickensteinJun 27, 1995
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Deforming Calabi-Yau Threefolds
This paper first generalises the Bogomolov-Tian-Todorov unobstructedness theorem to the case of Calabi-Yau threefolds with canonical singularities. The deformation space of such a Calabi-Yau…
Mark GrossJun 26, 1995
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A Vector Bundle of Rank 2 on P1 x P3
The paper studies a rank 2 vector bundle on P1 x P3. Similarly to the Horrocks - Mumford bundle on P4 this vector bundle encodes a lot of geometric information. It is defined via the Serre…
H. LangeJun 26, 1995
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Instantons and affine algebras I: The Hilbert scheme and vertex operators
This is the first in a series of papers which describe the action of an affine Lie algebra with central charge n on the moduli space of U(n)-instantons on a four manifold X. This generalises…
I. GrojnowskiJun 25, 1995
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Wall-crossing formulas, Bott residue formula and the Donaldson invariants of rational surfaces
We study the Donaldson invariants of rational surfaces and their dependence on the chambers in the ample cone. We build on a previous joint paper in which we have expressed the change of the…
Geir Ellingsrud, Lothar GöttscheJun 23, 1995
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Modular forms and Donaldson invariants for 4-manifolds with b+=1
We study the Donaldson invariants of simply connected 4-manifolds with b+=1, and in particular the change of the invariants under wall-crossing. We assume the conjecture of Kotschick and Morgan…
Lothar GöttscheJun 23, 1995
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Minimal Siegel modular threefolds
In this paper we study the maximal extension Γt* of the subgroup Γt of Sp4 () which is conjugate to the paramodular group. The index of this extension is 2ν(t) where…
Valeri Gritsenko, Klaus HulekJun 23, 1995
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Cycles alg\'ebriques sur les surfaces K3 r\'eelles
For a real algebraic K3 surface X(R), we give all possible values of the dimension h1alg(X(R) of the group 1alg(X(R),Z/2) of algebraic cycles of X(R). In particular, we prove that…
Frédéric MangolteJun 21, 1995
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On the separate algebraicity along the families of algebraic curves
A new generalization of the classical separate algebraicity theorem is suggested and proved.
R. A. Sharipov, E. N. TzyganovJun 21, 1995
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Higher cohomology triples and holomorphic extensions
We introduce equations for special metrics, and notions of stability for some new types of augmented holomorphic bundles. These new examples include holomorphic extensions, and in this case we prove…
Steven B. Bradlow, Oscar Garcia-PradaJun 20, 1995
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Fundamental group of locally symmetric varieties
Take a bounded symmetric domain D and an arithmetic subgroup Γ of Aut(D). Take the quotient D/Γ, compactify and resolve the singularities. We study the fundamental group of the compact…
G. K. SankaranJun 20, 1995
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Semiorthogonal decomposition for algebraic varieties
A criterion for a functor between derived categories of coherent sheaves to be full and faithful is given. A semiorthogonal decomposition for the derived category of coherent sheaves on the…
A. Bondal, D. OrlovJun 19, 1995
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Stability of the Poincaré bundle
Let C be a nonsingular projective curve of genus g2 defined over the complex numbers, and let Mξ denote the moduli space of stable bundles of rank n and determinant ξ on C, where ξ…
V. Balaji, L. Brambila Paz, P. E. NewsteadJun 15, 1995
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Rang maximal pour TPn
In this paper, I compute the last non-trivial term of the minimal free resolution of the homogeneous ideal of s points of Pn in sufficiently general position, for any s, showing that this term…
Francois LauzeJun 12, 1995
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