Endomorphism algebras of Abelian varieties with special reference to 
superelliptic Jacobians

Zarhin, Yuri G.

doi:10.1007/978-3-319-97379-1_22

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Endomorphism algebras of Abelian varieties with special reference to superelliptic Jacobians

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Zarhin, Yuri G.
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1007/978-3-319-97379-1
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Citation

Zarhin, Y. G. (2018). Endomorphism algebras of Abelian varieties with special reference to superelliptic Jacobians. In Geometry, algebra, number theory, and their information technology applications (pp. 477-528). Cham: Springer.

Cite as: https://hdl.handle.net/21.11116/0000-0003-A57A-A

Abstract

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.