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

页码：659 / 690

页数：32

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