Intersection matrices for the minimal regular model of \({X}_0(N)\) and applications to the Arakelov canonical sheaf

Publication date: 22 August 2024

Published in: Journal of the London Mathematical Society. Second Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Cites Work

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Calculus on arithmetic surfaces
La formule de Noether pour les surfaces arithmétiques. (The Noether formula for arithmetic surfaces)
Minimal resolution and stable reduction of \(X_ 0(N)\)
Equidistribution of small points on abelian varieties
Positivity and discretion of algebraic points of curves
Modular curves and the Eisenstein ideal
Points of small height on the modular curves \(X_0(N) \)
Two theorems on modular curves
Toward Dirichlet's unit theorem on arithmetic varieties
Arakelov self-intersection numbers of minimal regular models of modular curves \(X_0(p^2)\)
Self-intersection of the relative dualizing sheaf on modular curves \(X_{ 1 }(N)\)
Polynomial bounds for Arakelov invariants of Belyi curves. With an appendix by Peter Bruin.
Arakelov geometry
Computational Aspects of Modular Forms and Galois Representations
Arithmetic Moduli of Elliptic Curves. (AM-108)
Majorations Explicites Pour le Nombre de Diviseurs de N
INTERSECTION THEORY OF DIVISORS ON AN ARITHMETIC SURFACE
Les Schémas de Modules de Courbes Elliptiques
PARABOLIC POINTS AND ZETA-FUNCTIONS OF MODULAR CURVES

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