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The Picard group of a K3 surface and its reduction modulo p

Title data

Elsenhans, Andreas-Stephan ; Jahnel, Jörg:
The Picard group of a K3 surface and its reduction modulo p.
In: Algebra & Number Theory. Vol. 5 (2011) Issue 8 . - pp. 1027-1040.
ISSN 1937-0652
DOI: https://doi.org/10.2140/ant.2011.5.1027

Project information

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

We present a method to compute the geometric Picard rank of a K3 surface over ℚ. Contrary to a widely held belief, we show that it is possible to verify Picard rank 1 using reduction at a single prime.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: K3 surface; Picard group; Picard scheme; deformation; Artin approximation; Van Luijk's method
Subject classification: Mathematical Subject Classification 2010: 14C22 (14D15, 14J28, 14Q10)
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 06:52
Last Modified: 11 Apr 2016 06:52
URI: https://eref.uni-bayreuth.de/id/eprint/32140