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Algebraic Geometry papers — page 19

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On the general elephant conjecture for Mori conic bundles
Let f:X S be an extremal contraction from a threefolds with terminal singularities onto a surface (so called Mori conic bundle). We study some particular cases of such contractions: quotients of…
Yuri G ProkhorovAug 5, 1996
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Residues and duality for Cousin complexes
We construct a canonical pseudofunctor # on the category of finite-type maps of (say) connected noetherian universally catenary finite-dimensional separated schemes, taking values in the category of…
Joseph Lipman, Pramathanath SastryAug 4, 1996
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Mirror Symmetry via 3-tori for a class of Calabi-Yau Threefolds
We give an example of the recent proposed mirror construction of Strominger, Yau and Zaslow in ``Mirror Symmetry is T-duality,'' hep-th/9606040. The paper first considers mirror symmetry for…
Mark Gross, P. M. H. WilsonAug 2, 1996
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A relation between standard conjectures and their arithmetic analogues
In this paper we resolve the arithmetic analogues of standard conjectures for an arithmetic variety, which are proposed by Gillet and Soule, into original standard conjectures and similar conjectures…
Yuichiro TakedaAug 2, 1996
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The Picard group of the moduli of G-bundles on a curve
Let G be a complex semi-simple group, and X a compact Riemann surface. The moduli space of principal G-bundles on X, and in particular the holomorphic line bundles on this space and their global…
Arnaud Beauville, Yves Laszlo, Christoph SorgerAug 2, 1996
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The Braid Monodromy of Plane Algebraic Curves and Hyperplane Arrangements
To a plane algebraic curve of degree n, Moishezon associated a braid monodromy homomorphism from a finitely generated free group to Artin's braid group Bn. Using Hansen's polynomial covering…
Daniel C. Cohen, Alexander I. SuciuAug 2, 1996
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Projective structures on a Riemann surface
For a compact Riemann surface X of any genus g, let Ldenote the line bundle KX× X OX× X(2Δ) on X× X, where KX× X is the canonical bundle of…
Indranil Biswas, A. K. RainaJul 24, 1996
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The Chow Ring of the Hilbert Scheme of Rational Normal Curves
Let H(d) be the (open) Hilbert scheme of rational normal curves of degree d in Pd. A presentation of the integral Chow ring of H(d) is given via equivariant Chow ring computations. Included also in…
R. PandharipandeJul 23, 1996
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The Equivariant Chow Ring of SO(4)
The integral equivariant Chow ring of S0(4) is computed via the geometry of ruled quadric surfaces in P3.
R. PandharipandeJul 23, 1996
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Motives of uniruled 3-folds
We construct projectors in the ring of correspondences of a complex uniruled 3-fold X which lift the Kuenneth components of the diagonal in singular cohomology and have other properties which were…
Pedro Luis del Angel, Stefan Müller-StachJul 23, 1996
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Ample divisors on the blow up of P3 at points
We give a condition for certain divisors on the blow up of P3 at points in general position to be ample. The result extends a theorem of G. Xu on the blow up of the projective plane.
Flavio AngeliniJul 22, 1996
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Embeddings of curves and surfaces
We prove a general embedding theorem for Cohen--Macaulay curves (possibly nonreduced), and deduce a cheap proof of the standard results on pluricanonical embeddings of surfaces, assuming vanishing…
F. Catanese, M. Franciosi, K. Hulek et al.Jul 22, 1996
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Filtered Perverse Complexes
We introduce the notion of filtered perversity of a filtered differential complex on a complex analytic manifold X, without any assumptions of coherence, with the purpose of studying the connection…
P. Bressler, M. Saito, B. YoussinJul 19, 1996
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The Hodge de Rham theory of relative Malcev completion
The Hodge de Rham theory of relative Malcev completion is developed in this paper. In the special case where one takes the corresponding reductive group to be trivial, one recovers Chen's de Rham…
Richard HainJul 18, 1996
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Torelli groups and Jacobian varieties of non-orientable compact Klein surfaces
The Torelli group of a compact non-orientable Klein surface is the subgroup of the modular group consisting of the mapping classes that act trivially on the first homology group of the surface. We…
Pablo Ares GastesiJul 18, 1996
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On imaginary plane curves and Spin quotients of complex surfaces by complex conjugation
It is proven that for any topological or analytical types of isolated singular points of plane curves, there exists a non-real irreducible plane algebraic curve of degree d which goes through d2…
Sergey Finashin, Eugenii ShustinJul 18, 1996
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Low degree polynomial equations: arithmetic, geometry and topology
These are the notes of my lectures at the 1996 European Congress of Mathematicians. Polynomials appear in mathematics frequently, and we all know from experience that low degree polynomials are…
János KollárJul 17, 1996
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Master Spaces for stable pairs
We construct master spaces for oriented torsion free sheaves coupled with morphisms into a fixed reference sheaf. These spaces are projective varieties endowed with a natural *-action. The fixed…
Christian Okonek, Alexander Schmitt, Andrei TelemanJul 17, 1996
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Torsion Points on an Algebraic Subset of an Affine Torus
Work of Laurent and Sarnak, following a conjecture of Lang, shows that the number of torsion points of order n on an algebraic subset of an affine complex torus is polynomial periodic. In this paper,…
Eriko HironakaJul 16, 1996
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A lower bound for KXL of quasi-polarized surfaces (X,L) with non-negative Kodaira dimension
Let X be a smooth projective surface over the complex number field and let L be a nef-big divisor on X. Here we consider the following conjecture; If the Kodaira dimension κ(X)≥ 0, then…
Yoshiaki FukumaJul 15, 1996
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Quantum integrable systems and differential Galois theory
The purpose of this paper is to connect two subjects: the theory of quantum integrable systems (complete commutative rings of differential operators), and differential Galois theory. We define…
Alexander Braverman, Pavel Etingof, Dennis GaitsgoryJul 12, 1996
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Chern classes for singular hypersurfaces
We prove a simple formula for MacPherson's Chern class of hypersurfaces in nonsingular varieties. The result highlights the relation between MacPherson's class and other definitions of…
Paolo AluffiJul 10, 1996
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Equivalence de la théorie homotopique des n-groupoïdes et celle des espaces topologiques n-tronqués
This paper constitutes a recent work using the constructions of a previous preprint alg-geom/9512006 to show that the functors geometric realisation and Poincaré n-groupoid induce an equivalence…
Zouhair TamsamaniJul 10, 1996
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Contractible Extremal Rays on M0,n
We consider the cones of curves and divisors on the moduli space of stable pointed rational curves,Mn, and on the quotient by the symmetric group, Qn, which is a moduli space of pairs. We find…
Sean Keel, James McKernanJul 7, 1996
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Conjugacy classes in loop groups and G-bundles on elliptic curves
We added an additional result (theorem 1.6) that strengthenns our main theorem in the G=GL-case by establishing an equivalence of tensor categories.
Vladimir Baranovsky, Victor GinzburgJul 4, 1996
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