## Title data

Elsenhans, Andreas-Stephan ; Jahnel, Jörg:

**On the Brauer-Manin obstruction for cubic surfaces.**

*In:* Journal of Combinatorics and Number Theory.
Vol. 2
(2010)
Issue 2
.
- pp. 107-128.

ISSN 1942-5600

## 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 of order two or four. This covers the vast majority of the cases when this group is non-zero. Our approach is to associate a Brauer class with every Galois invariant double-six. We show that all order two Brauer classes may be obtained in this way. We also recover Sir Peter Swinnerton-Dyer’s result that Br(S)/Br(Q) may take only five values.

## Further data

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

Refereed: | Yes |

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: | 22 Jan 2015 10:37 |

Last Modified: | 22 Jan 2015 10:37 |

URI: | https://eref.uni-bayreuth.de/id/eprint/5816 |