Secondary characteristic classes and intermediate Jacobians.
Sections du fibré déterminant sur l'espace de modules des faisceaux semi-stables de rang 2 sur le plan projectif
La conjecture de “dualité étrange” de Le Potier donne un isomorphisme entre l’espace des sections du fibré déterminant sur deux espaces de modules différents de faisceaux semi-stables sur le plan projectif . Si on considère deux classes orthogonales dans l’algèbre de Grothendieck telles que est de rang strictement positif et est de rang zéro, on note et les espaces de modules de faisceaux semi-stables de classe , respectivement , sur . Il existe sur (resp. ) un fibré déterminant...
Semi-stability and heights of cycles.
Semistability of Frobenius direct images over curves
Let be a smooth projective curve of genus defined over an algebraically closed field of characteristic . Given a semistable vector bundle over , we show that its direct image under the Frobenius map of is again semistable. We deduce a numerical characterization of the stable rank- vector bundles , where is a line bundle over .
Semistable Sheaves on Projective Varieties and Their Restriction to Curves.
Siegel modular forms vanishing on the moduli space.
Simultaneous resolution of rational singularities
Singular principal -bundles on nodal curves
In the present paper, we give a first general construction of compactified moduli spaces for semistable -bundles on an irreducible complex projective curve with exactly one node, where is a semisimple linear algebraic group over the complex numbers.
Singularités des espaces de modules de Hilbert, en les caractéristiques divisant le discriminant
Singularity of the moduli space of stable bundles on surfaces
Some invariant theory among quasi-projectives
Some nonreduced moduli of bundles and Donaldson invariants for Dolgachev surfaces.
Some polynomials on the blow-up of [...]
Some stable vector bundles on P4 and P5.
Special instanton bundler on IP2N + 1, their geometry and their moduli.
Special rank two vector bundles over Enriques surfaces.
Spectral curves, opers and integrable systems
Stabile reflexive Garben vom Rang 3 auf P3 mit kleinen Chernklassen.
Stability of Two-Dimensional Local Rings. I.
Stable bundles on blown up surfaces.