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Licensed Unlicensed Requires Authentication Published by De Gruyter January 20, 2010

Koppelman formulas on Grassmannians

  • Elin Götmark , Håkan Samuelsson and Henrik Seppänen
From the journal


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 an application we obtain new explicit proofs of some vanishing theorems of the Bott-Borel-Weil type by solving the corresponding -equation. We also relate the projection part of our formulas to the Bergman kernels associated to the line bundles.

Received: 2008-06-10
Revised: 2008-11-20
Published Online: 2010-01-20
Published in Print: 2010-March

© Walter de Gruyter Berlin · New York 2010

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