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Koppelman formulas on Grassmannians
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2010 (English)In: Journal für die Reine und Angewandte Mathematik, ISSN 0075-4102, E-ISSN 1435-5345, Vol. 640, 101-115 p.Article in journal (Refereed) Published
Abstract [en]

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 partial derivative-equation. We also relate the projection part of our formulas to the Bergman kernels associated to the line bundles.

Place, publisher, year, edition, pages
Walter de Gruyter, 2010. Vol. 640, 101-115 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-109638DOI: 10.1515/CRELLE.2010.021ISI: 000276643300005OAI: oai:DiVA.org:umu-109638DiVA: diva2:858451
Available from: 2015-10-02 Created: 2015-10-02 Last updated: 2017-12-01Bibliographically approved

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Götmark, Elin

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