Hauteur de Faltings de quotients de J o( N ), discriminants d'algebres de Hecke et congruences entre formes modulaires

DOI10.1353/ajm.2000.0007zbMath0991.11033OpenAlexW2014890669MaRDI QIDQ4943235

Publication date: 9 April 2000

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm122.1.html

zbMATH Keywords

modular form congruences Hecke algebra modular curve Faltings invariant Faltings height Arakelov invariants

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Arithmetic aspects of modular and Shimura varieties (11G18) Heights (11G50) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (9)

Propriétés de la hauteur de Faltings ⋮ Bounds on Faltings's delta function through covers ⋮ Shimura curves and the abc conjecture ⋮ An effective Arakelov-theoretic version of the hyperbolic isogeny theorem ⋮ Heights on squares of modular curves ⋮ On the Hida constant of modular curves and Shimura curves ⋮ The effective Shafarevich conjecture for abelian varieties of -type ⋮ THE JACQUET–LANGLANDS CORRESPONDENCE AND THE ARITHMETIC RIEMANN–ROCH THEOREM FOR POINTED CURVES ⋮ The Manin constant in the semistable case

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