PARTIALLY AMPLE LINE BUNDLES ON TORIC VARIETIES

被引：2

作者：

Broomhead, Nathan ^{[1
]}

Ottem, John Christian ^{[2
]}

Prendergast-Smith, Artie ^{[3
]}

机构：

[1] Leibniz Univ Hannover, Insitut Algebra Geometrie, Welfengarten 1, D-30167 Hannover, Germany

[2] Univ Cambridge, DPMMS, Wilberforce Rd, Cambridge CB3 0WB, England

[3] Univ Loughborough, Dept Math Sci, Loughborough LE11 3TU, Leics, England

来源：

GLASGOW MATHEMATICAL JOURNAL | 2016年 / 58卷 / 03期

关键词：

ASYMPTOTIC COHOMOLOGICAL FUNCTIONS; DIVISORS;

D O I：

10.1017/S001708951500035X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we study properties of partially ample line bundles on simplicial projective toric varieties. We prove that the cone of q-ample line bundles is a union of rational polyhedral cones, and calculate these cones in examples. We prove a restriction theorem for big q-ample line bundles, and deduce that q-ampleness of the anticanonical bundle is not invariant under flips. Finally we prove a Kodaira-type vanishing theorem for q-ample line bundles.

引用

页码：587 / 598

页数：12

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