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Displaying 21 – 40 of 50

A Kummer-type construction of self-dual 4-manifolds.

Claude LeBrun, Michael Singer (1994)

Mathematische Annalen

A Note on Coherent G-Sheaves.

Mark Roberts (1986)

Mathematische Annalen

A note on the Kobayashi pseudodistance and the tautness of holomorphic fiber bundles

Do Duc Thai, Nguyen Le Huong (1993)

Annales Polonici Mathematici

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.

Hélène Esnault, Eckart Viehweg (1987)

Journal für die reine und angewandte Mathematik

A Riemann-Roch-Hirzebruch formula for traces of differential operators

Markus Engeli, Giovanni Felder (2008)

Annales scientifiques de l'École Normale Supérieure

Let $D$ be a holomorphic differential operator acting on sections of a holomorphic vector bundle on an $n$ -dimensional compact complex manifold. We prove a formula, conjectured by Feigin and Shoikhet, giving the Lefschetz number of $D$ 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 $H H^{2 n} (𝒟_{n}, 𝒟_{n}^{*})$ of the algebra of differential operators on a formal neighbourhood of a...

A Topological Criterion for Local Optimality of Weakly Normal Complex Spaces.

William A. Adkins, J.V. Leahy (1979)

Mathematische Annalen

A vanishing theorem for Dolbeault cohomology of homogeneous vector bundles.

Abraham Broer (1997)

Journal für die reine und angewandte Mathematik

A vanishing theorem on arithmetic surfaces.

C. Soulé (1994)

Inventiones mathematicae

Absolutely isolated singularities of holomorphic vector fileds.

C. Camacho, F. Cano, P. Sad (1989)

Inventiones mathematicae

Affine compact almost-homogeneous manifolds of cohomogeneity one

Daniel Guan (2009)

Open Mathematics

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.

P.I. Etingof, B.A. Khesin (1994)

Geometric and functional analysis

Algebraic Dimension of Twistor Spaces.

Y. Sun Sun Poon (1988)

Mathematische Annalen

Algebraic dimension of twistor spaces and scalar curvature of anti-self-dual metrics.

Massimiliano Pontecorvo (1991)

Mathematische Annalen

All Plane Domains are Banach-Stein.

Yum-Tong Siu (1974/1975)

Manuscripta mathematica

Amenable coverings of complex manifolds and holomorphic probalitiy measures.

Curt McMullen (1992)

Inventiones mathematicae

Analytic cohomology of complete intersections in a Banach space

Imre Patyi (2004)

Annales de l’institut Fourier

Let $X$ be a Banach space with a countable unconditional basis (e.g., $X = ℓ_{2}$ ), $Ω \subset X$ an open set and $f_{1}, ..., f_{k}$ complex-valued holomorphic functions on $Ω$ , such that the Fréchet differentials $d f_{1} (x), ..., d f_{k} (x)$ are linearly independant over $ℂ$ at each $x \in Ω$ . We suppose that $M = {x \in Ω : f_{1} (x) = ... = f_{k} (x) = 0}$ is a complete intersection and we consider a holomorphic Banach vector bundle $E \to M$ . If $I$ (resp. $𝒪^{E}$ ) denote the ideal of germs of holomorphic functions on $Ω$ that vanish on $M$ (resp. the sheaf of germs of holomorphic sections of $E$ ), then the sheaf cohomology groups $H^{q} (Ω, I)$ , $H^{q} (M, 𝒪^{E})$ vanish...

Currently displaying 21 – 40 of 50

Previous Page 2 Next

Displaying 21 – 40 of 50

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

A remark on a non-vanishing theorem of P. Deligne and G. D. Mostow.

A Riemann-Roch-Hirzebruch formula for traces of differential operators

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

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

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

Annulation de la cohomologie à valeurs dans un fibré vectoriel holomorphe positif de rang quelconque.

Currently displaying 21 – 40 of 50