Brill-Noether theory of curves on Enriques surfaces I: the positive cone and gonality

被引：17
|
作者：
Knutsen, Andreas Leopold [2 ]
Lopez, Angelo Felice [1 ]
机构：
[1] Univ Roma Tre, Dipartimento Matemat, I-00146 Rome, Italy
[2] Univ Bergen, Dept Math, N-5008 Bergen, Norway
来源：
MATHEMATISCHE ZEITSCHRIFT | 2009年 / 261卷 / 03期
关键词：
LINEAR-SYSTEMS; PROJECTIVE MODELS; K3; BUNDLES; PENCILS;
D O I：
10.1007/s00209-008-0349-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the existence of linear series on curves lying on an Enriques surface and general in their complete linear system. Using a method that works also below the Bogomolov-Reider range, we compute, in all cases, the gonality of such curves. We also give a new result about the positive cone of line bundles on an Enriques surface and we show how this relates to the gonality.
引用
收藏
页码：659 / 690
页数：32
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