A note on Galois embeddings of abelian varieties

被引:7
|
作者
Auffarth, Robert [1 ]
机构
[1] Univ Chile, Fac Ciencias, Dept Matemat, Santiago, Chile
关键词
CURVES; SURFACES; POINTS;
D O I
10.1007/s00229-017-0921-z
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note we show that if an abelian variety possesses a Galois embedding into some projective space, then it must be isogenous to the self product of an elliptic curve. We prove moreover that the self product of an elliptic curve always has infinitely many Galois embeddings.
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页码:279 / 284
页数:6
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