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On the order three Brauer classes for cubic surfaces

Title data

Elsenhans, Andreas-Stephan ; Jahnel, Jörg:
On the order three Brauer classes for cubic surfaces.
In: Central European Journal of Mathematics. Vol. 10 (June 2012) Issue 3 . - 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
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: 11 Apr 2016 06:39
URI: https://eref.uni-bayreuth.de/id/eprint/32136