Algebraic entropy for smooth projective varieties

被引：0

作者：

Shuddhodan, K., V ^{[1
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

MATHEMATICAL RESEARCH LETTERS | 2022年 / 29卷 / 03期

关键词：

HYPERKAHLER MANIFOLDS; SURFACES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the spectral radius for the action of a self map f of a smooth projective variety (over an arbitrary base field) on its ladic cohomology is achieved on the f* stable sub-algebra generated by any ample class. This generalizes a result of Esnault-Srinivas who had obtained an analogous result for automorphisms of surfaces. Over C we also show that this sub-algebra is naturally an irreducible representation of a Looijenga-Lunts-Verbitsky type Lie algebra acting on the cohomology of a smooth projective variety.

引用

页码：851 / 869

页数：19

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