Skip to content

Algebraic Geometry papers — page 6

alg-geomBrowse archive

Fibrés prioritaires génériques instables sur le plan projectif
The structure of the generic prioritary sheaf on the projective plane is given, when it cannot be semi-stable
Jean-Marc DrézetSep 11, 1997
Learn
Local-global intersection homology
This paper defines new intersection homology groups. The basic idea is this. Ordinary homology is locally trivial. Intersection homology is not. It may have significant local cycles. A local-global…
Jonathan FineSep 10, 1997
Learn
On Weierstrass points and optimal curves
We use Weierstrass Point Theory and Frobenius orders to prove the uniqueness (up to isomorphism) of some optimal curves.
Rainer Fuhrmann, Fernando TorresSep 10, 1997
Learn
The Pontryagin rings of moduli spaces of arbitrary rank holomorphic bundles over a Riemann surface
The cohomology of the moduli spaces of stable bundles M(n,d), of coprime rank n and degree d, over a Riemann surface (of genus g > 1) have been intensely studied over the past three decades. We prove…
Richard Earl, Frances KirwanSep 10, 1997
Learn
Height zeta functions of toric bundles over flag varieties
We investigate analytic properties of height zeta functions of toric bundles over flag varieties.
Matthias Strauch, Yuri TschinkelSep 9, 1997
Learn
Compactifying the relative Jacobian over families of reduced curves
We construct natural relative compactifications for the relative Jacobian over a family X/S of reduced curves. In contrast with all the available compactifications so far, ours admit a universal…
Eduardo EstevesSep 8, 1997
Learn
Separation properties of theta functions
In a 1993 article, G. Faltings gave a new construction of the moduli space U of semistable vector bundles on a smooth curve X, avoiding geometric invariant theory. Roughly speaking, Faltings…
Eduardo EstevesSep 8, 1997
Learn
Product formulas for modular forms on O(2,n) (after R.Borcherds)
This is my talk on the Bourbaki seminar, November 1996. It contains an elementary introduction to Borcherds' product formulas.
Maxim KontsevichSep 5, 1997
Learn
The enumerative geometry of rational and elliptic curves in projective space
We study the geometry of varieties parametrizing degree d rational and elliptic curves in Pn intersecting fixed general linear spaces and tangent to a fixed hyperplane H with fixed multiplicities…
Ravi VakilSep 5, 1997
Learn
Very ampleness for Theta on the compactified Jacobian
The Jacobian J of a complete, smooth, connected curve X admits a canonical divisor Θ, called the Theta divisor. It is well-known that Θ is ample and, in fact, 3Θ is very ample. For a…
Eduardo EstevesSep 5, 1997
Learn
Genus g Gromov-Witten invariants of Del Pezzo surfaces: Counting plane curves with fixed multiple points
As another application of the degeneration methods of [V3], we count the number of irreducible degree d geometric genus g plane curves, with fixed multiple points on a conic E, not containing…
Ravi VakilSep 4, 1997
Learn
Counting curves of any genus on rational ruled surfaces
In this paper we study the geometry of the Severi varieties parametrizing curves on the rational ruled surface . We compute the number of such curves through the appropriate number of fixed…
Ravi VakilSep 4, 1997
Learn
Wall-crossing formulae for algebraic surfaces with q>0
We extend the ideas of Friedman and Qin (Flips of moduli spaces and transition formulae for Donaldson polynomial invariants of rational surfaces) to find the wall-crossing formulae for the Donaldson…
Vicente MuñozSep 4, 1997
Learn
Rational cuspidal plane curves of type (d, d-3)
In the previous paper [E-print alg-geom/9507004] we classified the rational cuspidal plane curves C with a cusp of multiplicity deg C - 2. In particular, we showed that any such curve can be…
H. Flenner, M. ZaidenbergSep 1, 1997
Learn
Pieri-type formulas for maximal isotropic Grassmannians via triple intersections
We give an elementary proof of the Pieri-type formula in the cohomology of a Grassmannian of maximal isotropic subspaces of an odd orthogonal or symplectic vector space. This proof proceeds by…
Frank SottileAug 29, 1997
Learn
Duality Construction of Moduli Spaces
We show for the moduli space of rank-2 coherent sheaves on an algebraic surface that there exists a 'dual' moduli space. This dual space allows a construction of the first one without using…
Georg HeinAug 29, 1997
Learn
Relations between the correlators of the topological sigma-model coupled to gravity
We prove a new recursive relation between the correlators < τd1γ1...τdnγn >g,β, which together with known relations allows one to express all of them through the full system of…
Maxim Kontsevich, Yuri I. ManinAug 28, 1997
Learn
An elliptic conic bundle in P4 arising from a stable rank-3 vector bundle
In this note we show the existence of a family of elliptic conic bundles in P4 of degree 8. This family has been overlooked and in fact falsely ruled out in a series of classification papers. Our…
Hirotachi Abo, Wolfram Decker, Nobuo SasakuraAug 28, 1997
Learn
Buchsbaum-Rim sheaves and their multiple sections
This paper begins by introducing and characterizing Buchsbaum-Rim sheaves on Z = R where R is a graded Gorenstein K-algebra. They are reflexive sheaves arising as the sheafification of…
J. C. Migliore, U. Nagel, C. PetersonAug 26, 1997
Learn
Determinantal schemes and Buchsbaum-Rim sheaves
Let ϕ be a generically surjective morphism between direct sums of line bundles on n and assume that the degeneracy locus, X, of ϕ has the expected codimension. We call Bϕ = ϕ a…
M. Kreuzer, J. C. Migliore, U. Nagel et al.Aug 26, 1997
Learn
Conormal Geometry of Maximal Minors
Let A be a Noetherian local domain, N be a finitely generated torsion- free module, and M a proper submodule that is generically equal to N. Let A[N] be an arbitrary graded overdomain of A generated…
S. Kleiman, A. ThorupAug 22, 1997
Learn
A property deducible from the generic initial ideal
Let Sd be the vector space of monomials of degree d in the variables x1, ..., xs. For a subspace V Sd which is in general coordinates, consider the subspace V Sd…
Gunnar FloystadAug 22, 1997
Learn
Stability of the Rational Homotopy Type of Moduli Spaces
We show that for g > 2k+2 the k-rational homotopy type of the moduli space Mg,n of algebraic curves of genus g with n punctures is independent of g, and the space Mg,n is k-formal. This implies…
Alexander A. VoronovAug 22, 1997
Learn
On algebra generated by Chern-Bott forms on SLn/B
In this short note we give an explicit presentation of the algebra An generated by the curvature 2-forms of the standard Hermitiam line bundles over SLn/B as the quotient of the polynomial ring.…
B. Shapiro, M. ShapiroAug 20, 1997
Learn
Nef Divisors on Moduli Spaces of Abelian Varieties
We determine the cone of nef divisors on the Voronoi compactification Ag* of the moduli space Ag of principally polarized abelian varieties of dimension g for genus g=2,3. As a corollary we obtain…
Klaus HulekAug 19, 1997
Learn
← PreviousPage 6Next →