Koppelman formulas on Grassmannians

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We construct Koppelman formulas on Grassmannians for forms with values in any holomorphic line bundle as well as in the tautological vector bundle and its dual. As a consequence we obtain some vanishing theorems of the Bott-Borel-Weil type. We also relate the projection part of our formulas to the Bergman kernels associated to the line bundles.
sections 5.3 and 6.2 are new

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Complex Variables, Representation Theory, 32A26; 32L10; 32M10; 32M05

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http://salesiana.dossiersoluciones.com/handle/123456789/140837

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.1559
 http://arxiv.org/abs/0709.1559

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arXiv