Cohomological and numerical dynamical degrees on abelian varieties

被引：5

作者：

Hu, Fei ^{[1
]}

机构：

[1] Univ British Columbia, Dept Math, Vancouver, BC, Canada

来源：

ALGEBRA & NUMBER THEORY | 2019年 / 13卷 / 08期

关键词：

dynamical degree; abelian variety; endomorphism algebra; stale cohomology; algebraic cycle; positive characteristic;

D O I：

10.2140/ant.2019.13.1941

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that for a self-morphism of an abelian variety defined over an algebraically closed field of arbitrary characteristic, the second cohomological dynamical degree coincides with the first numerical dynamical degree.

引用

页码：1941 / 1958

页数：18

共 17 条

[1]

[Anonymous], 1968, 10 EXPOSES COHOMOLOG

[2] Some remarks concerning the Grothendieck period conjecture [J].

Bost, Jean-Benoit ;

Charles, Francois .

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2016, 714 :175-208

[3]

Deligne P., 1974, I HAUTES ETUDES SCI, V43, P273, DOI 10.1007/BF02684373

[4] Equidistribution problems in complex dynamics of higher dimension [J].

Dinh, Tien-Cuong ;

Sibony, Nessim .

INTERNATIONAL JOURNAL OF MATHEMATICS, 2017, 28 (07)

[5]

Esnault H, 2013, OSAKA J MATH, V50, P827

[6]

Gromov Mikhail, 2003, Enseign. Math., V49, P217

[7]

Hu F., MATH ANN

[8] CONSEQUENCES OF RIEMANN HYPOTHESIS FOR VARIETIES OVER FINITE-FIELDS [J].

KATZ, NM ;

MESSING, W .

INVENTIONES MATHEMATICAE, 1974, 23 (01) :73-77

[9]

Lee H.C., 1949, Proc. RIA. Sect. A, V52, P253

[10] THE CRITERIA FOR ALGEBRAIC EQUIVALENCE AND THE TORSION GROUP [J].

MATSUSAKA, T .

AMERICAN JOURNAL OF MATHEMATICS, 1957, 79 (01) :53-66

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