Lines on Fermat surfaces
- authored by
- Matthias Schütt, Tetsuji Shioda, Ronald van Luijk
- Abstract
We prove that the Néron-Severi groups of several complex Fermat surfaces are generated by lines. Specifically, we obtain these new results for all degrees up to 100 that are relatively prime to 6. The proof uses reduction modulo a supersingular prime. The techniques are developed in detail. They can be applied to other surfaces and varieties as well.
- Organisation(s)
-
Institute of Algebraic Geometry
- External Organisation(s)
-
Rikkyo University
Kyoto University
Leiden University
- Type
- Article
- Journal
- Journal of number theory
- Volume
- 130
- Pages
- 1939-1963
- No. of pages
- 25
- ISSN
- 0022-314X
- Publication date
- 09.2010
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Algebra and Number Theory
- Electronic version(s)
-
https://doi.org/10.1016/j.jnt.2010.01.008 (Access:
Open)
