Ample subvarieties and q-ample divisors
Algebraic Geometry
2011-10-10 v2
Abstract
We introduce a notion of ampleness for subschemes of higher codimension using the theory of q-ample line bundles. We also investigate certain geometric properties satisfied by ample subvarieties, e.g. the Lefschetz hyperplane theorems and numerical positivity. Using these properties, we also construct a counterexample to the converse of the Andreotti-Grauert vanishing theorem.
Cite
@article{arxiv.1105.2500,
title = {Ample subvarieties and q-ample divisors},
author = {John Christian Ottem},
journal= {arXiv preprint arXiv:1105.2500},
year = {2011}
}
Comments
16 pages. 1 figure. Some new results added