Faltings height J(0)(N) quotients, discriminants of Hecke algebras and congruences between modular forms

Authors
Ullmo, E
Citation
E. Ullmo, Faltings height J(0)(N) quotients, discriminants of Hecke algebras and congruences between modular forms, AM J MATH, 122(1), 2000, pp. 83-115
Citations number
32
Categorie Soggetti
Mathematics
Journal title
AMERICAN JOURNAL OF MATHEMATICS
ISSN journal
00029327 → ACNP
Volume
122
Issue
1
Year of publication
2000
Pages
83 - 115
Database
ISI
SICI code
0002-9327(200002)122:1<83:FHJQDO>2.0.ZU;2-B
Abstract
In this paper we compute the Faltings height of the Jacobian of the modular curve J(0)(N). We explain how it is related to the discriminant of the Hec ke algebra. This discriminant measures congruences between modular forms. A s a corollary we obtain a lower bound for this discriminant. The Faltings h eight of a quotient A of J(0)(N) is also computed.