Back to Search
Start Over
Hypergeometric decomposition of symmetric K3 quartic pencils.
- Source :
-
Research in the mathematical sciences [Res Math Sci] 2020; Vol. 7 (2), pp. 7. Date of Electronic Publication: 2020 Mar 16. - Publication Year :
- 2020
-
Abstract
- We study the hypergeometric functions associated to five one-parameter deformations of Delsarte K3 quartic hypersurfaces in projective space. We compute all of their Picard-Fuchs differential equations; we count points using Gauss sums and rewrite this in terms of finite-field hypergeometric sums; then we match up each differential equation to a factor of the zeta function, and we write this in terms of global L -functions. This computation gives a complete, explicit description of the motives for these pencils in terms of hypergeometric motives.<br /> (© The Author(s) 2020.)
Details
- Language :
- English
- ISSN :
- 2197-9847
- Volume :
- 7
- Issue :
- 2
- Database :
- MEDLINE
- Journal :
- Research in the mathematical sciences
- Publication Type :
- Academic Journal
- Accession number :
- 32382704
- Full Text :
- https://doi.org/10.1007/s40687-020-0203-3