Scalar-flat Kähler metrics with SU (2) symmetry.
Secondary characteristic classes and intermediate Jacobians.
Selfdual spaces with complex structures, Einstein-Weyl geometry and geodesics
We study the Jones and Tod correspondence between selfdual conformal -manifolds with a conformal vector field and abelian monopoles on Einstein-Weyl -manifolds, and prove that invariant complex structures correspond to shear-free geodesic congruences. Such congruences exist in abundance and so provide a tool for constructing interesting selfdual geometries with symmetry, unifying the theories of scalar-flat Kähler metrics and hypercomplex structures with symmetry. We also show that in the presence...
Semistable quotients
Smoothing q-convex functions and vanishing theorems.
Smoothing q-Convex Functions in the Singular Case.
Sobolev cohomology for locally polycylindrical domains.
Some applications of the theory of harmonic integrals
In this survey, we present recent techniques on the theory of harmonic integrals to study the cohomology groups of the adjoint bundle with the multiplier ideal sheaf of singular metrics. As an application, we give an analytic version of the injectivity theorem.
Some properties of positive line bundles on 1-convex complex analytic spaces
Some Properties of Stahle Rank-2 Vector Bundles on Pn.
Some remarks on multiplier ideals and vector bundles.
Some Remarks on Vanishing Theorems for Holomorphic Vector Bundles.
Some Special Complex Vector Bundles over Jacobi Varieties.
Stability, complex-analyticity and constancy of pluriharmonic maps from compact Kaehler manifolds.
Stability of meromorphic vector fields in projective spaces.
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 Principal Bundles on a Compact Riemann Surface.
Stable Rank-2 Vector Bundles on: IP2with cl Odd.
Stable Reflexive Sheaves.
Steinness of bundles with fiber a Reinhardt bounded domain
Let denote a holomorphic bundle with fiber and with basis . Both and are assumed to be Stein. For a Reinhardt bounded domain of dimension or , we give a necessary and sufficient condition on for the existence of a non-Stein such (Theorem ); for , we give necessary and sufficient criteria for to be Stein (Theorem ). For a Reinhardt bounded domain of any dimension not intersecting any coordinate hyperplane, we give a sufficient criterion for to be Stein (Theorem ).