## Title data

Stoll, Michael:

**An explicit theory of heights for hyperelliptic Jacobians of genus three.**

*In:* Böckle, Gebhard ; Decker, Wolfram ; Malle, Gunter
(ed.):
Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory. -
Cham
: Springer
,
2017
. - pp. 665-715

ISBN 978-3-319-70565-1

DOI: https://doi.org/10.1007/978-3-319-70566-8_29

## Project information

Project title: |
Project's official title Project's id Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory SPP 1489 |
---|---|

Project financing: |
Deutsche Forschungsgemeinschaft |

## Abstract in another language

We develop an explicit theory of Kummer varieties associated to Jacobians of hyperelliptic curves of genus 3, over any field k of characteristic ≠ 2. In particular, we provide explicit equations defining the Kummer variety

## Further data

Item Type: | Article in a book |
---|---|

Refereed: | Yes |

Keywords: | Kummer variety; Hyperelliptic curve; Genus 3; Canonical height |

Subject classification: | Mathematics Subject Classification Code: 14H40 14H45 11G10 11G50 14Q05 14Q15 |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) > Chair Mathematics II (Computer Algebra) - Univ.-Prof. Dr. Michael Stoll Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 20 Jun 2018 11:32 |

Last Modified: | 20 Jun 2018 11:32 |

URI: | https://eref.uni-bayreuth.de/id/eprint/44581 |