## Title data

Stoll, Michael:

**Rational points on hyperelliptic curves : recent developments.**

*In:* Computeralgebra-Rundbrief.
Vol. 54
(2014)
.
- pp. 10-13.

ISSN 0933-5994

## Abstract in another language

We give an overview over recent results concerning rational points on hyperelliptic curves. One result says that ‘most’ hyperelliptic curves of high genus have very few rational points. Another result gives a bound on the number of rational points in terms of the genus and the Mordell-Weil rank, provided the latter is sufficiently small. The first result relies on work by Bhargava and Gross on Selmer groups of hyperelliptic Jacobians, and both results use Chabauty’s method.

## Further data

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

Refereed: | No |

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: | 19 Feb 2015 12:58 |

Last Modified: | 26 Sep 2023 11:55 |

URI: | https://eref.uni-bayreuth.de/id/eprint/7227 |