The gonality of complete intersection curves

被引：6
|
作者：
Hotchkiss, James [1 ]
Lau, Chung Ching [2 ]
Ullery, Brooke [3 ]
机构：
[1] Univ Michigan, Dept Math, 530 Church St, Ann Arbor, MI 48109 USA
[2] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA
[3] Harvard Univ, Dept Math, 1 Oxford St, Cambridge, MA 02138 USA
来源：
JOURNAL OF ALGEBRA | 2020年 / 560卷
关键词：
Algebraic geometry; Complete intersections; Cayley-Bacharach; Algebraic curves; LEFSCHETZ THEOREM; VECTOR-BUNDLES; CLIFFORD INDEX; NOETHER; VARIETIES;
D O I：
10.1016/j.jalgebra.2020.04.032
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to show that for a complete intersection curve C in projective space (other than a few exceptions stated below), any morphism f : C -> P-r satisfying deg f* O-Pr (1) < deg C is obtained by projection from a linear space. In particular, we obtain bounds on the gonality of such curves and compute the gonality of general complete intersection curves. We also prove a special case of one of the well-known Cayley-Bacharach conjectures posed by Eisenbud, Green, and Harris. Published by Elsevier Inc.
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页码：579 / 608
页数：30
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