### Abstract

We study hyperbolic curves and their Jacobians over finite fields in the context of anabelian geometry.

Original language | English (US) |
---|---|

Pages (from-to) | 245-294 |

Number of pages | 50 |

Journal | Pure and Applied Mathematics Quarterly |

Volume | 6 |

Issue number | 1 |

State | Published - Jan 2010 |

### Fingerprint

### Keywords

- Anabelian geometry
- Finite fields
- Hyperbolic curves

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Pure and Applied Mathematics Quarterly*,

*6*(1), 245-294.

**A Torelli theorem for curves over finite fields.** / Bogomolov, Fedor; Korotiaev, Mikhail; Tschinkel, Yuri.

Research output: Contribution to journal › Article

*Pure and Applied Mathematics Quarterly*, vol. 6, no. 1, pp. 245-294.

}

TY - JOUR

T1 - A Torelli theorem for curves over finite fields

AU - Bogomolov, Fedor

AU - Korotiaev, Mikhail

AU - Tschinkel, Yuri

PY - 2010/1

Y1 - 2010/1

N2 - We study hyperbolic curves and their Jacobians over finite fields in the context of anabelian geometry.

AB - We study hyperbolic curves and their Jacobians over finite fields in the context of anabelian geometry.

KW - Anabelian geometry

KW - Finite fields

KW - Hyperbolic curves

UR - http://www.scopus.com/inward/record.url?scp=79951995624&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79951995624&partnerID=8YFLogxK

M3 - Article

VL - 6

SP - 245

EP - 294

JO - Pure and Applied Mathematics Quarterly

JF - Pure and Applied Mathematics Quarterly

SN - 1558-8599

IS - 1

ER -