On the arithmetic self-intersection numbers of the dualizing sheaf for Fermat curves of prime exponent

2009/06/21 by Christian Curilla, Curilla, Christian, Ulf Kuehn +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT

paper · pdf · doi:10.48550/arxiv.0906.3891

arxiv created 2009/06/21 · openalex publication_date 2009/06/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we improve the upper bound for the arithmetic self-intersection number of the dualizing sheaf of the minimal regular model for the Fermat curves F_p of prime exponent.

Cited by

• Self-intersection of the relative dualizing sheaf on modular curves X₁(N)

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