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- W2953249425 abstract "Consider an action of a connected compact Lie group on a compact complex manifold $M$, and two equivariant vector bundles $L$ and $E$ on $M$, with $L$ of rank 1. The purpose of this paper is to establish holomorphic Morse inequalities a la Demailly for the invariant part of the Dolbeault cohomology of tensor powers of $L$ twisted by $E$. To do so, we define a moment map $mu$ by the Kostant formula and we define the reduction of $M$ under a natural hypothesis on $mu^{-1}(0)$. Our inequalities are given in term of the curvature of the bundle induced by $L$ on this reduction." @default.
- W2953249425 created "2019-06-27" @default.
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- W2953249425 date "2015-06-15" @default.
- W2953249425 modified "2023-09-27" @default.
- W2953249425 title "G-invariant Holomorphic Morse inequalities" @default.
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- W2953249425 hasPublicationYear "2015" @default.
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