Higher cohomology of the pluricanonical bundle is not deformation invariant
Algebraic Geometry
2008-01-16 v2
Abstract
In this paper, we compute the dimensions of the 1st and 2nd cohomology groups of all the pluricanonical bundles for Hirzebruch surfaces, and the dimensions of the 1st and 2nd cohomology groups of the second pluricanonical bundles for a blow-up of a projective plane along finite many distinct points. Both of them give examples showing that the higher cohomology of the pluricanonical bundle is not deformation invariant.
Keywords
Cite
@article{arxiv.math/0612006,
title = {Higher cohomology of the pluricanonical bundle is not deformation invariant},
author = {Ning Hao and Li Li},
journal= {arXiv preprint arXiv:math/0612006},
year = {2008}
}
Comments
7 pages, correct a typo in the abstract of the first version