Positivity in Arakelov Geometry over Adelic Curves : Hilbert-Samuel Formula and Equidistribution Theorem

Language: English

Published by Springer, 2025

3031616707 / 9783031616709

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - This monograph presents new research on Arakelov geometry over adelic curves, a novel theory of arithmetic geometry developed by the authors. It explores positivity conditions and establishes the Hilbert-Samuel formula and the equidistribution theorem in the context of adelic curves. Connections with several classical topics in Arakelov geometry and Diophantine geometry are highlighted, such as the arithmetic Hilbert-Samuel formula, positivity of line bundles, equidistribution of small subvarieties, and theorems resembling the Bogomolov conjecture. Detailed proofs and explanations are provided to ensure the text is accessible to both graduate students and experienced researchers.

Seller Inventory # 9783031616709

Title
Positivity in Arakelov Geometry over Adelic Curves : Hilbert-Samuel Formula and Equidistribution Theorem
Author
Huayi Chen
Publisher
Springer
Publication year
2025
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3031616707
ISBN 13
9783031616709
Item weight
406 grams
Dimensions
235x155x15 mm

AHA-BUCH GmbH

Einbeck, Germany

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AbeBooks seller since August 14, 2006

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