## Title data

Elsenhans, Andreas-Stephan ; Jahnel, Jörg:

**On the order three Brauer classes for cubic surfaces.**

*In:* Central European Journal of Mathematics.
Vol. 10
(2012)
.
- pp. 903-926.

ISSN 1895-1074

DOI: https://doi.org/10.2478/s11533-012-0042-6

## Abstract in another language

We describe a method to compute the Brauer-Manin obstruction for smooth cubic surfaces over ℚ such that Br(S)/Br(ℚ) is a 3-group. Our approach is to associate a Brauer class with every ordered triplet of Galois invariant pairs of Steiner trihedra. We show that all order three Brauer classes may be obtained in this way. To show the effect of the obstruction, we give explicit examples.

## Further data

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

Refereed: | Yes |

Subject classification: | Mathematics Subject Classification Code: 14F22 (11G35 14J25 14J26) |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) 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: | 11 Apr 2016 06:39 |

Last Modified: | 07 Sep 2023 05:47 |

URI: | https://eref.uni-bayreuth.de/id/eprint/32136 |