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Algebraic Geometry papers — page 47

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The simple method of distinguishing the underlying differentiable structures of algebraic surfaces
The simplest version of the Spin-polynomial invariants of the underlying differentiable structures of algebraic surfaces were considered and the simplest arguments were used in order to distinguish…
Andrej TyurinOct 10, 1992
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Chow quotients of Grassmannian I
We introduce a certain compactification of the space of projective configurations i.e. orbits of the group PGL(k) on the space of n - tuples of points in Pk-1 in general position. This…
M. KapranovOct 7, 1992
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Arrangements of Hyperplanes and Vector Bundles on Pn
Any arrangement of hyperplanes in general position in Pn can be regarded as a divisor with normal crossing. We study the bundles of logarithmic 1-forms corresponding to such divisors` from the…
I. Dolgachev, M. KapranovOct 6, 1992
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On the (-1)-curve conjecture of Friedman and Morgan
Main difference with previous version: we prove that every differentiably embedded sphere with self intersection -1 in a simply connected algebraic surface with pg >0 is homologous to a…
Rogier BrusseeSep 12, 1992
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Torsion Sections of Semistable Elliptic Surfaces
Let S be a torsion section of an elliptic surface with only In fibers. This article addresses the question: which components of singular fibers can S pass through? We give necessary criteria for the…
Rick MirandaAug 21, 1992
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Weierstrass weight of Gorenstein singularities with one or two branches
Let X denote an integral, projective Gorenstein curve over an algebraically closed field k. In the case when k is of characteristic zero, C. Widland and the second author have defined…
A. Garcia, R. F. LaxAug 20, 1992
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Abelian varieties over Q and modular forms
This paper gives a conjectural characterization of those elliptic curves over the field of complex numbers which "should" be covered by standard modular curves. The elliptic curves in…
Kenneth A. RibetAug 6, 1992
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Open String Diagrams I: Topological Type
An arbitrary Feynman graph for string field theory interactions is analysed and the homeomorphism type of the corresponding world sheet surface is completely determined even in the non-orientable…
Subhashis Nag, Parameswaran SankaranAug 3, 1992
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Completions of mapping class groups and the cycle C - C-
In this paper we study the proalgebraic completion of mapping class relative to their maps to the symplectic group. The main result is that the natural map from the unipotent (a.k.a. Malcev)…
Richard HainJul 23, 1992
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The complex separation and extensions of Rokhlin congruence for curves on surfaces
The subject of this paper is the problem of arrangement of real algebraic curves on real algebraic surfaces. In this paper we extend Rokhlin, Kharlamov-Gudkov-Krakhnov and Kharlamov-Marin congruences…
G. MikhalkinJun 24, 1992
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The fibers of the Prym map
In this work we use the bigonal, trigonal and tetragonal constructions to describe the fibers of the Prym map P : Rg ---->Ag-1 inthe cases when it is dominant, i.e. for g < 7. The most…
Ron DonagiJun 17, 1992
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Rang de courbes elliptiques d'invariant donne
We prove that there exist infinitely many elliptic curves over with given modular invariant, and rank >=2. Furthermore, there exist infinitely many elliptic curves over with invariant equal…
Jean-Francois MestreJun 16, 1992
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Corps quadratiques dont le 5-rang du groupe des classes est >=3
We prove the existence of infinitely many real and imaginary fields whose 5-rank of the class group is >=3.
Jean-Francois MestreJun 16, 1992
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Two Two-dimensional Terminations
Varieties with log terminal and log canonical singularities are considered in the Minimal Model Program, see ... for introduction. In shokurov:hyp it was conjectured that many of the…
Valery AlexeevJun 12, 1992
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Extremal Rays and Null Geodesics on a Complex Conformal Manifold
This is a revised version of the paper submitted before.
Yun-Gang YeJun 11, 1992
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Affine like Surfaces
We classify smooth surfaces whose higher cohomologies of i-forms for all i vanish. We show that if such a surface is not affine, then it has essentially two possibilities.
N. Mohan KumarJun 4, 1992
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String Branchings on Complex Tori and Algebraic Representations of Generalized Krichever-Novikov Algebras
The propagation differential for bosonic strings on a complex torus with three symmetric punctures is investigated. We study deformation aspects between two point and three point differentials as…
Andreas Ruffing, Thomas Deck, Martin SchlichenmaierJun 3, 1992
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Linear orbits of smooth plane curves
The group PGL(3) of linear transformations of the projective plane acts naturally on the projective space parametrizing curves of a given degree. In this note we begin the study of the orbits of…
Paolo Aluffi, Carel FaberJun 2, 1992
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On the Tangent Space to the Universal Teichmuller Space
We find a remarkably simple relationship between the following two models of the tangent space to the Universal Teichmüller Space: (1) The real-analytic model consisting of Zygmund class vector…
Subhashis NagMay 22, 1992
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Upper Bounds for the Betti Numbers of a given Hilbert Function
From a Macaulay's paper it follows that a lex-segment ideal has the greatest number of generators (the 0-th Betti number 0) among all the homogeneous ideals with the same Hilbert function.…
Anna Maria BigattiMay 19, 1992
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Linear orbits of d-tuples of points in P1
The group PGL(2) of linear transformations of the projective line acts naturally on the d-dimensional projective space Pd parametrizing configurations (`d-tuples') of points on the line. In this…
Paolo Aluffi, Carel FaberMay 12, 1992
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Notes on Kodaira energies of polarized varieties
The Kodaira energy of a polarized manifold (M,L) is defined by κε(M,L)=-Inft∈ Q|κ(K+tL) 0. Here we propose a couple of conjectures and announce several partial results. 3-dimensional cases are…
Takao FujitaMay 8, 1992
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Chern classes and degenerations of hypersurfaces and their lines
We study limiting lines on degenerations of generic hypersurfaces in Pn.
Xian WuMay 7, 1992
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Cohomology, Symmetry, and Perfection
One of the aims of this paper is to better explain the philosophy behind the computations in [E.Bifet, C.De Concini,C.Procesi Cohomology of Regular Embeddings ] and to place them in a wider…
Emili BifetMay 4, 1992
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Report on the Torsion of the Differential Module of an algebraic Curve
There is a conjecture, that the torsionfreeness of the module of differentials in a point of an algebraic or algebroid curve should imply that the curve is non singular at that point. A report on the…
Robert W. BergerMay 3, 1992
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