Mayer, Hartwig (2014) Self-intersection of the relative dualizing sheaf on modular curves X-1 (N). JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 26 (1). pp. 111-161. ISSN 1246-7405,
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Let N be an odd and squarefree positive integer divisible by at least two relative prime integers bigger or equal than 4. Our main theorem is an asymptotic formula solely in terms of N for the stable arithmetic self-intersection number of the relative dualizing sheaf for modular curves X-1(N)/Q. From our main theorem we obtain an asymptotic formula for the stable Faltings height of the Jacobian J(1)(N)/Q of X-1(N)/Q, and, for sufficiently large N, an effective version of Bogomolov's conjecture for X-1(N)/Q.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DAS EIGENWERTPROBLEM; AUTOMORPHEN FORMEN; BOUNDS; FORMULA; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Walter Gubler |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Nov 2019 10:00 |
| Last Modified: | 29 Nov 2019 10:00 |
| URI: | https://pred.uni-regensburg.de/id/eprint/10992 |
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