FIXED-POINT FREE AUTOMORPHISMS OF ABELIAN-VARIETIES

被引：9

作者：

BIRKENHAKE, C ^{[1
]}

LANGE, H ^{[1
]}

机构：

[1] UNIV ERLANGEN NURNBERG,INST MATH,D-91054 ERLANGEN,GERMANY

来源：

GEOMETRIAE DEDICATA | 1994年 / 51卷 / 03期

关键词：

Mathematic Subject Classifications (1991): 20K30; 14K99;

D O I：

10.1007/BF01263993

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An automorphism f of an abelian variety X is called fixed point free if it admits no fixed points other than the origin and this is of multiplicity one. It is well known that the elliptic curve with j-invariant 0 is the only elliptic curve admitting a fixed point free automorphism. In this note, this result is extended to abelian varieties of higher dimensions and some connected commutative algebraic groups.

引用

页码：201 / 213

页数：13

共 11 条

[1]

BARSOTTI I, 1957, T AM MATH SOC, V84, P85

[2]

Bourbaki N., 1970, ALGEBRE

[3]

Deuring M., 1941, ABH MATH SEM HAMBURG, V14, P197, DOI 10.1007/BF02940746

[4] RIGHT DISTRIBUTIVE QUASI-GROUPS ON ALGEBRAIC-VARIETIES [J].

ENEA, MR .

GEOMETRIAE DEDICATA, 1994, 51 (03) :257-286

[5]

Griffiths P, 1978, PRINCIPLES ALGEBRAIC

[6]

HUSEMOLLER D, 1987, GTM111

[7]

LANGE H, 1992, GRUNDLEHREN, V302

[8]

MUMFORD D, 1970, ABELIAN VARIETIES

[9] SOME BASIC THEOREMS ON ALGEBRAIC GROUPS [J].

ROSENLICHT, M .

AMERICAN JOURNAL OF MATHEMATICS, 1956, 78 (02) :401-443

[10]

SERRE JP, 1959, GROUPES ALGEBRIQUES

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