TORIC VECTOR BUNDLES AND PARLIAMENTS OF POLYTOPES

被引：6

作者：

Di Rocco, Sandra ^{[1
]}

Jabbusch, Kelly ^{[2
]}

Smith, Gregory G. ^{[3
]}

机构：

[1] Royal Inst Technol KTH, Dept Math, S-10044 Stockholm, Sweden

[2] Univ Michigan, Dept Math & Stat, 4901 Evergreen Rd, Dearborn, MI 48128 USA

[3] Queens Univ, Dept Math & Stat, Kingston, ON K7L 3N6, Canada

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 370卷 / 11期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Toric vector bundle; polytopes; positivity;

D O I：

10.1090/tran/7201

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a collection of convex polytopes associated to a torus-equivariant vector bundle on a smooth complete toric variety. We show that the lattice points in these polytopes correspond to generators for the space of global sections and relate edges to jets. Using the polytopes, we also exhibit vector bundles that are ample but not globally generated, and vector bundles that are ample and globally generated but not very ample.

引用

页码：7715 / 7741

页数：27

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