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.

引用

页码：579 / 608

页数：30

共 32 条

[1]

Arbarello E., 1985, GEOMETRY ALGEBRAIC C, V267

[2] REMARK ON GROTHENDIECK-LEFSCHETZ THEOREM ABOUT PICARD GROUP [J].