Laytimi, F. and Nahm, Werner (2012) A General Vanishing Theorem. (Preprint)
Text
DIAS-STP-12-19.pdf Download (176kB) |
Abstract
Let E be a vector bundle and L be a line bundle over a smooth projective variety X. In this article, we give a condition for the vanishing of Dolbeault cohomology groups of the form H^p,q (X, S^α E ⊗ (∧^β)E ⊗ L) when S^(α+β)E ⊗ L is ample. This condition is shown to be invariant under the interchange of p and q. The optimality of this condition is discussed for some parameter values.
Item Type: | Article |
---|---|
Divisions: | School of Theoretical Physics > Preprints |
Date Deposited: | 19 Jun 2018 13:48 |
Last Modified: | 17 Dec 2022 21:01 |
URI: | https://dair.dias.ie/id/eprint/532 |
Actions (login required)
View Item |
Downloads
Downloads per month over past year