A Hirzebruch-Riemann-Roch formula for analytic spaces and non-projective algebraic varieties
A Kummer-type construction of self-dual 4-manifolds.
A Note on Coherent G-Sheaves.
A note on the Kobayashi pseudodistance and the tautness of holomorphic fiber bundles
We show a relation between the Kobayashi pseudodistance of a holomorphic fiber bundle and the Kobayashi pseudodistance of its base. Moreover, we prove that a holomorphic fiber bundle is taut iff both the fiber and the base are taut.
A remark on a non-vanishing theorem of P. Deligne and G. D. Mostow.
A Riemann-Roch-Hirzebruch formula for traces of differential operators
Let be a holomorphic differential operator acting on sections of a holomorphic vector bundle on an -dimensional compact complex manifold. We prove a formula, conjectured by Feigin and Shoikhet, giving the Lefschetz number of as the integral over the manifold of a differential form. The class of this differential form is obtained via formal differential geometry from the canonical generator of the Hochschild cohomology of the algebra of differential operators on a formal neighbourhood of a...
A Topological Criterion for Local Optimality of Weakly Normal Complex Spaces.
A vanishing theorem for Dolbeault cohomology of homogeneous vector bundles.
A vanishing theorem on arithmetic surfaces.
Absolutely isolated singularities of holomorphic vector fileds.
Affine compact almost-homogeneous manifolds of cohomogeneity one
This paper is one in a series generalizing our results in [12, 14, 15, 20] on the existence of extremal metrics to the general almost-homogeneous manifolds of cohomogeneity one. In this paper, we consider the affine cases with hypersurface ends. In particular, we study the existence of Kähler-Einstein metrics on these manifolds and obtain new Kähler-Einstein manifolds as well as Fano manifolds without Kähler-Einstein metrics. As a consequence of our study, we also give a solution to the problem...
Affine Gelfand-Dickey Brackets and Holomorphic Vector Bundles.
Algebraic Dimension of Twistor Spaces.
Algebraic dimension of twistor spaces and scalar curvature of anti-self-dual metrics.
All Plane Domains are Banach-Stein.
Amenable coverings of complex manifolds and holomorphic probalitiy measures.
Analytic cohomology of complete intersections in a Banach space
Let be a Banach space with a countable unconditional basis (e.g., ), an open set and complex-valued holomorphic functions on , such that the Fréchet differentials are linearly independant over at each . We suppose that is a complete intersection and we consider a holomorphic Banach vector bundle . If (resp.) denote the ideal of germs of holomorphic functions on that vanish on (resp. the sheaf of germs of holomorphic sections of ), then the sheaf cohomology groups , vanish...
Analytic Cycles and Vector Bundles on Non-Compact Algebraic Varieties.
Analytische periodische Strömungen auf kompakten komplexen Räumen.
Annulation de la cohomologie à valeurs dans le faisceau structural et espaces de Stein