This is (mostly) a survey article. We use an information about Galois properties of points of small order on an abelian variety in order to describe its endomorphism algebra over an algebraic closure of the ground field. We discuss in detail applications to jacobians of cyclic covers of the projective line.
|Original language||English (US)|
|Title of host publication||Springer Proceedings in Mathematics and Statistics|
|Publisher||Springer New York LLC|
|Number of pages||52|
|Publication status||Published - Jan 1 2018|
|Name||Springer Proceedings in Mathematics and Statistics|
All Science Journal Classification (ASJC) codes