Ample subvarieties and q-ample divisors
Change log
Authors
Ottem, JC
Abstract
We introduce a notion of ampleness for subschemes of any 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.
Description
Keywords
Ample subschemes, Partially positive line bundles
Journal Title
Advances in Mathematics
Conference Name
Journal ISSN
0001-8708
1090-2082
1090-2082
Volume Title
229
Publisher
Elsevier BV