Partial positivity: geometry and cohomology of q-ample line bundles
Algebraic Geometry
2015-04-17 v2
Abstract
We give an overview of partial positivity conditions for line bundles, mostly from a cohomological point of view. Although the current work is to a large extent of expository nature, we present some minor improvements over the existing literature and a new result: a Kodaira-type vanishing theorem for effective q-ample Du Bois divisors and log canonical pairs.
Keywords
Cite
@article{arxiv.1307.5568,
title = {Partial positivity: geometry and cohomology of q-ample line bundles},
author = {Daniel Greb and Alex Küronya},
journal= {arXiv preprint arXiv:1307.5568},
year = {2015}
}
Comments
v1: 24 pages; v2: 25 pages, minor changes, accepted for publication in the Robfest Proceedings in honor of Rob Lazarsfeld's 60th birthday, London Mathematical Society Lecture Notes Series