THE MINIMAL FIBERING DEGREE OF A TORIC VARIETY EQUALS THE LATTICE WIDTH OF ITS POLYTOPE

被引：0

作者：

Lebovitz, Audric ^{[1
]}

Stapleton, David ^{[2
]}

机构：

[1] UCLA, Dept Math, 520 Portola Plaza, Los Angeles, CA 90095 USA

[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2025年

关键词：

CURVES;

D O I：

10.1090/tran/9381

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. The purpose of this paper is to compute the minimal fibering degree of an arbitrary projective toric variety. We prove that it equals the lattice width of the associated polytope. This gives a complete answer to a question asked in a recent paper of Levinson, Ullery and the second author. The minimal fibering degree of a polarized projective variety was introduced in that paper in order to compute the degree of irrationality (a generalization of gonality) of high degree divisors. From this perspective, our paper gives a higher dimensional analogue of results of Kawaguchi and others who computed the gonality of curves in toric surfaces in terms of lattice widths.

引用

页数：13