### 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.

Original language | English (US) |
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Title of host publication | Springer Proceedings in Mathematics and Statistics |

Publisher | Springer New York LLC |

Pages | 477-528 |

Number of pages | 52 |

DOIs | |

State | Published - Jan 1 2018 |

### Publication series

Name | Springer Proceedings in Mathematics and Statistics |
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Volume | 251 |

ISSN (Print) | 2194-1009 |

ISSN (Electronic) | 2194-1017 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

*Springer Proceedings in Mathematics and Statistics*(pp. 477-528). (Springer Proceedings in Mathematics and Statistics; Vol. 251). Springer New York LLC. https://doi.org/10.1007/978-3-319-97379-1_22

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*Springer Proceedings in Mathematics and Statistics.*Springer Proceedings in Mathematics and Statistics, vol. 251, Springer New York LLC, pp. 477-528. https://doi.org/10.1007/978-3-319-97379-1_22

**Endomorphism algebras of abelian varieties with special reference to superelliptic Jacobians.** / Zarkhin, Yuriy G.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - Endomorphism algebras of abelian varieties with special reference to superelliptic Jacobians

AU - Zarkhin, Yuriy G.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85054012742&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85054012742&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-97379-1_22

DO - 10.1007/978-3-319-97379-1_22

M3 - Chapter

AN - SCOPUS:85054012742

T3 - Springer Proceedings in Mathematics and Statistics

SP - 477

EP - 528

BT - Springer Proceedings in Mathematics and Statistics

PB - Springer New York LLC

ER -