A sharp vanishing theorem for line bundles on K3 or Enriques surfaces
| dc.creator | Knutsen, A. L. | |
| dc.creator | Lopez, A. F. | |
| dc.date | 2006-10-02 | |
| dc.date | 2007-06-22 | |
| dc.date.accessioned | 2026-07-07T08:11:42Z | |
| dc.date.available | 2026-07-07T08:11:42Z | |
| dc.description | Let $L$ be a line bundle on a K3 or Enriques surface. We give a vanishing theorem for $H^1(L)$ 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]). | |
| dc.description | 4 pages, latex. Minor corrections. To appear on Proc. Amer. Math. Soc | |
| dc.identifier | https://arxiv.org/abs/math/0610068 | |
| dc.identifier | http://arxiv.org/abs/math/0610068 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132202 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F17, 14J28, 14C20 | |
| dc.title | A sharp vanishing theorem for line bundles on K3 or Enriques surfaces | |
| dc.type | text |