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Galois representations in arithmetic geometryGalois representations in arithmetic geometryD. Lombardo
被引：0
作者：
Davide Lombardo
[1
]
机构：
[1] Università di Pisa,Dipartimento di matematica
关键词：
Galois representations;
Kummer theory;
Abelian varieties;
11F80;
11G10;
14K15;
11G05;
11G30;
D O I：
10.1007/s40574-024-00427-6
中图分类号：
学科分类号：
摘要：
We survey some recent recent results whose proofs depend in an essential way on the study of Galois representations. We discuss in particular the scarcity of rational points on ramified covers of abelian varieties, the problem of algorithmically computing endomorphism rings of abelian varieties over number fields, and a version of Kummer theory for commutative algebraic groups.
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页码：273 / 291
页数：18
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