Effective bounds for the negativity of Shimura curves on Hilbert Modular Surfaces

2015/12/29 by Sonia Samol, Samol, Sonia
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #math.AG

paper · pdf · doi:10.48550/arxiv.1512.08670

arxiv created 2015/12/29 · openalex publication_date 2015/12/29 · arxiv updated 2015/12/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the bounded negativity conjecture for non-quaternionic Hilbert modular surfaces and give an explicit bound for the special case of Hirzebruch-Zagier curves on Hilbert modular surfaces.

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