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Positivity in Arakelov Geometry over Adelic Curves: Hilbert-Samuel Formula and Equidistribution Theorem Huayi Chen 9783031616679
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Positivity in Arakelov Geometry over Adelic Curves: Hilbert-Samuel Formula and Equidistribution Theorem Huayi Chen 9783031616679

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9783031616679
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Expected release date is 9th Sep 2024

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Description

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.



Book Information
ISBN 9783031616679
Author Huayi Chen
Format Hardback
Page Count 200
Imprint Birkhauser Verlag AG
Publisher Birkhauser Verlag AG

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