at Google ScholarTitle 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 (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 06:52 |
| Last Modified: | 11 Apr 2016 06:52 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/32140 |