Arithmetic of a fake projective plane and related elliptic surfaces
- The purpose of the present paper is to explain the fake projective plane constructed by J. H. Keum from the point of view of arithmetic ball quotients. Beside the ball quotient associated with the fake projective plane, we also analize two further naturally related ball quotients whose minimal desingularizations lead to two elliptic surfaces, one already considered by J. H. Keum as well as the one constructed by M. N. Ishida in terms of p-adic uniformization. 2000 Mathematics Subject Classification: 11F23,14J25,14J27
| Author: | Amir Džambić |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-451474 |
| URL: | https://www.math.uni-bielefeld.de/documenta/vol-15/20.pdf |
| ISSN: | 1431-0635 |
| Parent Title (German): | Documenta mathematica |
| Publisher: | Deutsche Mathematiker-Vereinigung |
| Place of publication: | Bielefeld |
| Document Type: | Article |
| Language: | English |
| Year of Completion: | 2010 |
| Year of first Publication: | 2010 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Release Date: | 2017/11/27 |
| Tag: | arithmetic ball quotients; fake projective planes |
| Volume: | 15 |
| Page Number: | 16 |
| First Page: | 671 |
| Last Page: | 686 |
| HeBIS-PPN: | 425118010 |
| Institutes: | Informatik und Mathematik / Mathematik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Deutsches Urheberrecht |
