Koppelman formulas on Grassmannians

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dc.creatorGötmark, Elin
dc.creatorSamuelsson, Håkan
dc.creatorSeppänen, Henrik
dc.date2007-09-11
dc.date2007-10-29
dc.date.accessioned2026-07-07T08:38:44Z
dc.date.available2026-07-07T08:38:44Z
dc.descriptionWe 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.
dc.descriptionsections 5.3 and 6.2 are new
dc.identifierhttps://arxiv.org/abs/0709.1559
dc.identifierhttp://arxiv.org/abs/0709.1559
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140837
dc.subjectComplex Variables
dc.subjectRepresentation Theory
dc.subject32A26; 32L10; 32M10; 32M05
dc.titleKoppelman formulas on Grassmannians
dc.typetext

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