Koppelman formulas on Grassmannians
Complex Variables
2007-10-29 v2 Representation Theory
Abstract
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.
Cite
@article{arxiv.0709.1559,
title = {Koppelman formulas on Grassmannians},
author = {Elin Götmark and Håkan Samuelsson and Henrik Seppänen},
journal= {arXiv preprint arXiv:0709.1559},
year = {2007}
}
Comments
sections 5.3 and 6.2 are new