Intersection matrices for the minimal regular model of X0(N) and applications to the Arakelov canonical sheaf

Paolo Dolce; Pietro Mercuri

doi:10.1112/jlms.12964

Intersection matrices for the minimal regular model of X₀(N) and applications to the Arakelov canonical sheaf

Paolo Dolce, Pietro Mercuri

Research output: Contribution to journal › Article › peer-review

Abstract

Let (Formula presented.) be an integer coprime to 6 such that (Formula presented.) and let (Formula presented.) be the genus of the modular curve (Formula presented.). We compute the intersection matrices relative to special fibres of the minimal regular model of (Formula presented.). Moreover, we prove that the self-intersection of the Arakelov canonical sheaf of (Formula presented.) is asymptotic to (Formula presented.), for (Formula presented.).

Original language	English
Article number	e12964
Journal	Journal of the London Mathematical Society
Volume	110
Issue number	2
DOIs	https://doi.org/10.1112/jlms.12964
State	Published - 1 Aug 2024
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1112/jlms.12964

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abstract = "Let (Formula presented.) be an integer coprime to 6 such that (Formula presented.) and let (Formula presented.) be the genus of the modular curve (Formula presented.). We compute the intersection matrices relative to special fibres of the minimal regular model of (Formula presented.). Moreover, we prove that the self-intersection of the Arakelov canonical sheaf of (Formula presented.) is asymptotic to (Formula presented.), for (Formula presented.).",

author = "Paolo Dolce and Pietro Mercuri",

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AB - Let (Formula presented.) be an integer coprime to 6 such that (Formula presented.) and let (Formula presented.) be the genus of the modular curve (Formula presented.). We compute the intersection matrices relative to special fibres of the minimal regular model of (Formula presented.). Moreover, we prove that the self-intersection of the Arakelov canonical sheaf of (Formula presented.) is asymptotic to (Formula presented.), for (Formula presented.).

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Intersection matrices for the minimal regular model of X₀(N) and applications to the Arakelov canonical sheaf

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