Vanishing sequences and Okounkov bodies

被引：24

作者：

Boucksom, Sebastien ^{[1
]}

Kueronya, Alex ^{[2
]}

Maclean, Catriona ^{[3
]}

Szemberg, Tomasz ^{[4
]}

机构：

[1] Univ Paris 06, CNRS, Inst Math, F-75251 Paris 05, France

[2] Budapest Univ Technol & Econ, Dept Algebra, Math Inst, H-1521 Budapest, Hungary

[3] Univ Grenoble, Inst Fourier, CNRS, UMR 5582, F-38402 St Martin Dheres, France

[4] Inst Matemat UP, PL-30084 Krakow, Poland

来源：

MATHEMATISCHE ANNALEN | 2015年 / 361卷 / 3-4期

关键词：

VOLUMES;

D O I：

10.1007/s00208-014-1081-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define and study the vanishing sequence along a real valuation of sections of a line bundle on a normal projective variety. Building on previous work of the first author with Huayi Chen, we prove an equidistribution result for vanishing sequences of large powers of a big line bundle, and study the limit measure; in particular, the latter is described in terms of restricted volumes for divisorial valuations. We also show on an example that the associated concave function on the Okounkov body can be discontinuous at boundary points.

引用

页码：811 / 834

页数：24