Technique de descente et théorèmes d'existence en géométrie algébriques. II. Le théorème d'existence en théorie formelle des modules
Tensor product theorem for Hitchin pairs – An algebraic approach
We give an algebraic approach to the study of Hitchin pairs and prove the tensor product theorem for Higgs semistable Hitchin pairs over smooth projective curves defined over algebraically closed fields of characteristic zero and characteristic , with satisfying some natural bounds. We also prove the corresponding theorem for polystable Hitchin pairs.
The ampleness of the theta divisor on the compactified jacobian of a proper and integral curve
The automorphism group of the moduli space of semi stable vector bundles.
The Betti numbers of the moduli space of stable sheaves of rank 2 on a ruled surface.
The Betti numbers of the moduli space of stable sheaves of rank2 on P2.
The Chern Classes of the Stable Rank 3 Vector Bundles on IP3.
The cohomology rings of moduli stacks of principal bundles over curves.
The concept of (ν)-equivalence in algebraic deformation theory
The decomposition and specialization of algebraic families of vector bundles
The Group of Automorphisms of the Modular Function Field.
The Hyperelliptic Locus with Special Reference to Characteristic Two.
The irreducible components of moduli spaces of vector bundles on surfaces.
The Kodaira dimension of the moduli space of curves of genus ... 23.
The KSBA compactification for the moduli space of degree two pairs
Inspired by the ideas of the minimal model program, Shepherd-Barron, Kollár, and Alexeev have constructed a geometric compactification for the moduli space of surfaces of log general type. In this paper, we discuss one of the simplest examples that fits into this framework: the case of pairs consisting of a degree two surface and an ample divisor . Specifically, we construct and describe explicitly a geometric compactification for the moduli of degree two pairs. This compactification...
The Lefschetz trace formula for algebraic stacks.
The line bundles on moduli stacks of principal bundles on a curve.
The line bundles on the moduli of parabolic -bundles over curves and their sections
The Local Torelli Theorem. I. Complete Intersection.
The Moduli of Super-Null-Correlation Bundles on IP3.