PRIMITIVE COLLECTIONS AND TORIC VARIETIES

被引：12

作者：

Cox, David A. ^{[1
]}

von Renesse, Christine ^{[2
]}

机构：

[1] Amherst Coll, Dept Math & Comp Sci, Amherst, MA 01002 USA

[2] Westfield State Coll, Dept Math, Westfield, MA 01086 USA

来源：

TOHOKU MATHEMATICAL JOURNAL | 2009年 / 61卷 / 03期

关键词：

Toric varieties; primitive collections;

D O I：

10.2748/tmj/1255700197

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies Batyrev's notion of primitive collection. We use primitive collections to characterize the nef cone of a quasi-projective toric variety whose fan has convex support, a result stated without proof by Batyrev in the smooth projective case. When the fan is non-simplicial, we modify the definition of primitive collection and explain how our definition relates to primitive collections of simplicial subdivisons. The paper ends with an open problem.

引用

页码：309 / 332

页数：24

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