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On the computation of the Picard group for K3 surfaces

Title data

Elsenhans, Andreas-Stephan ; Jahnel, Jörg:
On the computation of the Picard group for K3 surfaces.
In: Mathematical Proceedings of the Cambridge Philosophical Society. Vol. 151 (2011) Issue 2 . - pp. 263-270.
ISSN 0305-0041
DOI: https://doi.org/10.1017/S0305004111000326

Official URL: Volltext

Project information

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

We present a method to construct examples of K3 surfaces of geometric Picard rank 1. Our approach is a refinement of that of R. van Luijk. It is based on an analysis of the
Galois module structure on étale cohomology. This allows us to abandon the original limitation to cases of Picard rank 2 after reduction modulo p. Furthermore, the use of Galois data enables us to construct examples that require significantly less computation time.

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
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 12:04
Last Modified: 22 Jan 2015 12:05
URI: https://eref.uni-bayreuth.de/id/eprint/5819