An Arakelov theoretic proof of the equality of conductor and\n discriminant

2000/06/06 by Sı̇nan Ünver, Unver, Sinan
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.math/0006043

openalex publication_date 2000/06/06 · openalex created_date 2022/09/29 · openalex updated_date 2026/07/28

Abstract

We give an Arakelov theoretic proof of the equality of conductor and\ndiscriminant for arithmetic surfaces over number fields. This was first proved\nby T. Saito for relative curves over discrete valuation rings.\n

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