Singularity of the moduli space of stable bundles on surfaces
Some consequences of perversity of vanishing cycles
For a holomorphic function on a complex manifold, we show that the vanishing cohomology of lower degree at a point is determined by that for the points near it, using the perversity of the vanishing cycle complex. We calculate this order of vanishing explicitly in the case the hypersurface has simple normal crossings outside the point. We also give some applications to the size of Jordan blocks for monodromy.
Some invariant theory among quasi-projectives
Some moduli spaces of smooth complete intersections which are quasi-projective
For some values of the degrees of the equations, we show, using geometric invariant theory, that the coarse moduli space of smooth complete intersections in is quasi-projective.
Some nonreduced moduli of bundles and Donaldson invariants for Dolgachev surfaces.
Some polynomials on the blow-up of [...]
Some remarks concerning rank 2 bundles and Chow groups.
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.
Spécialisation du foncteur de Picard
Spectral curves, opers and integrable systems
Spectral Pairs, Mixed Hodge Modules, and Series of Plane Curve Singularities.
Spitzen, Doppelpunkte und vertikale Tangenten in der Diskriminante verseller Deformationen von vollständigen Durchschnitten.
Stabile reflexive Garben vom Rang 3 auf P3 mit kleinen Chernklassen.
Stability of Irrational Ruled Threefolds.
Stability of Two-Dimensional Local Rings. I.
Stable bundles on blown up surfaces.
Stable bundles on hypercomplex surfaces
A hypercomplex manifold is a manifold equipped with three complex structures I, J, K satisfying the quaternionic relations. Let M be a 4-dimensional compact smooth manifold equipped with a hypercomplex structure, and E be a vector bundle on M. We show that the moduli space of anti-self-dual connections on E is also hypercomplex, and admits a strong HKT metric. We also study manifolds with (4,4)-supersymmetry, that is, Riemannian manifolds equipped with a pair of strong HKT-structures that have opposite...
Stable bundles with torsion chern classes on non-Kählerian elliptic surfaces.