An Arakelov theoretic proof of the equality of conductor and discriminant

DOI10.5802/jtnb.454zbMath1078.14030arXivmath/0006043OpenAlexW1972057651MaRDI QIDQ2483703

Sinan Ünver

Publication date: 26 July 2005

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0006043

zbMATH Keywords

Arakelov geometryarithmetic Noether's formulaconductor and discriminant

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) 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)
• Conductor, discriminant, and the Noether formula of arithmetic surfaces
• Stability of projective varieties
• \(\epsilon\)-constants and Arakelov Euler characteristics.
• An arithmetic Riemann-Roch theorem

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