Ce travail comprend deux parties. La premiere expose la structure des varietes
kahleriennes compactes avec cλ—0, suivant des idees de F. Bogomolov [2], et d'autres …

We study generalized gauge theories engineered by taking the low energy limit of the Dp
branes wrapping X *\bf T^ p-3 X× T p-3, with X a possibly singular surface in a Calabi–Yau …

We prove that moduli spaces of torsion-free sheaves on a projective smooth complex
surface are irreducible, reduced and of the expected dimension, provided the expected …

Introduction. Let L be a numerically effective and big line bundle on a smooth projective
surface S. Questions about the spannedness and very ampleness of Ks (R) L arise naturally; …

We develop a theory of\emph {reduced} Gromov-Witten and stable pair invariants of
surfaces and their canonical bundles. We show that classical Severi degrees are special …

We generalize Macdonald's formula for the cohomology of Hilbert schemes of points on a
curve from smooth curves to curves with planar singularities: we relate the cohomology of …

An ideal in a polynomial ring encodes a system of linear partial differential equations with
constant coefficients. Primary decomposition organizes the solutions to the PDE. This paper …

Examples of compact holomorphic symplectic manifolds which are not Kählerian II Page
1 Invent. math. 121, t35 - 145 (1995) Inventiones mathematicae 9 Springer-Verlag 1995 …

A primary module over a polynomial ring can be described by an algebraic variety and a
finite set of Noetherian operators, which are vectors of differential operators with polynomial …

The Behrend function of a C-scheme X is a constructible function ν X: X (C)→ Z introduced
by Behrend, intrinsic to the scheme structure of X. It is a (subtle) invariant of singularities of …