at Google ScholarTitle data
Elsenhans, Andreas-Stephan ; Jahnel, Jörg:
On the computation of the Picard group for certain singular quartic surfaces.
In: Mathematica Slovaca.
Vol. 63
(2013)
Issue 2
.
- pp. 215-228.
ISSN 0139-9918
DOI: https://doi.org/10.2478/s12175-012-0094-x
Project information
| Project financing: |
Deutsche Forschungsgemeinschaft |
|---|
Abstract in another language
We test the methods for computing the Picard group of a K3 surface in a situation of high rank. The examples chosen are resolutions of quartics in P 3 having 14 singularities of type A 1. Our computations show that the method of R. van Luijk works well when sufficiently large primes are used.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Keywords: | K3 surface; singular quartic surface; Cayley-Rohn quartic; A1 singularity; Picard rank; van Luijk’s method |
| Subject classification: | Mathematics Subject Classification Code: 14J28 (14C22 14J27) |
| 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: | 08 Apr 2016 08:33 |
| Last Modified: | 09 Dec 2024 08:34 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/32130 |