Results 11 to 20 of about 200 (27)
On localization in holomorphic equivariant cohomology [PDF]
Open Mathematics, 2012 We prove a localization formula for a "holomorphic equivariant cohomology" attached to the Atiyah algebroid of an equivariant holomorphic vector bundle. This generalizes Feng-Ma, Carrell-Liebermann, Baum-Bott and K.
Bruzzo Ugo, Rubtsov Vladimir
doaj +5 more sources
Divisorial Zariski decomposition and algebraic Morse inequalities [PDF]
, 2009 In this note we use the divisorial Zariski decomposition to give a more intrinsic version of the algebraic Morse inequalities.Comment: In this version we correct some ...
Trapani, Stefano
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Cohomology of semi 1-coronae and extension of analytic subsets [PDF]
, 2007 We generalize some of the results in [arXiv: math.CV/0503430], and prove a bump-lemma for closed sets in semi 1-coronae. From this we obtain some finite cohomology results and an extension theorem for analytic subsets in 1-coronae.Comment: 16 ...
Saracco, Alberto, Tomassini, Giuseppe
core +3 more sources
A Takayama-type extension theorem
, 2006 We prove a theorem on the extension of holomorphic sections of powers of adjoint bundles from submanifolds of complex codimension 1 having non-trivial normal bundle. The first such result, due to Takayama, considers the case where the canonical bundle is
Varolin, Dror
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Elliptic Zeta functions and equivariant functions,
, 2017 In this paper we establish a close connection between three notions at- tached to a modular subgroup. Namely the set of weight two meromorphic modular forms, the set of equivariant functions on the upper half-plane commuting with the action of the ...
Al-Shbail, Isra, Sebbar, Abdellah
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On the construction of Nadel multiplier ideal sheaves and the limiting behavior of the Ricci flow
, 2007 In this note we construct Nadel multiplier ideal sheaves using the Ricci flow on Fano manifolds. This extends a result of Phong, Sesum and Sturm. These sheaves, like their counterparts constructed by Nadel for the continuity method, can be used to obtain
Rubinstein, Yanir A.
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A note on the CR cohomology of Levi-Flat minimal orbits in complex flag manifolds [PDF]
, 2005 We prove a relation between the $\bar\partial_M$ cohomology of a minimal orbit $M$ of a real form $G_0$ of a complex semisimple Lie group $G$ in a flag manifold $G/Q$ and the Dolbeault cohomology of the Matsuki dual open orbit $X$ of the complexification
Altomani, Andrea
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Extension of holomorphic functions and cohomology classes from non reduced analytic subvarieties
, 2017 The goal of this survey is to describe some recent results concerning the L 2 extension of holomorphic sections or cohomology classes with values in vector bundles satisfying weak semi-positivity properties.
B Berndtsson +23 more
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Cohomology groups of sections of homogeneous line bundles over a toroidal group
, 2015 We completely determine cohomology groups of sections of homogeneous line bundles over a toroidal ...
Abe, Yukitaka
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A duality for the double fibration transform
, 2012 We establish a duality within the spectral sequence that governs the holomorphic double fibration transform. It has immediate application to the questions of injectivity and range characterization for this transform.
Eastwood, Michael G., Wolf, Joseph A.
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