A sharp vanishing theorem for line bundles on K3 or Enriques surfaces
Algebraic Geometry
2007-06-22 v2
Abstract
Let be a line bundle on a K3 or Enriques surface. We give a vanishing theorem for that, unlike most vanishing theorems, gives necessary and sufficient geometrical conditions for the vanishing. This result is essential in our study of Brill-Noether theory of curves on Enriques surfaces (reference [KL1]) and of Enriques-Fano threefolds (reference [KLM]).
Cite
@article{arxiv.math/0610068,
title = {A sharp vanishing theorem for line bundles on K3 or Enriques surfaces},
author = {A. L. Knutsen and A. F. Lopez},
journal= {arXiv preprint arXiv:math/0610068},
year = {2007}
}
Comments
4 pages, latex. Minor corrections. To appear on Proc. Amer. Math. Soc