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Positivity In Arakelov Geometry Over Adelic Curves Huayi Chen

  • SKU: BELL-59127960
Positivity In Arakelov Geometry Over Adelic Curves Huayi Chen
$ 31.00 $ 45.00 (-31%)

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Positivity In Arakelov Geometry Over Adelic Curves Huayi Chen instant download after payment.

Publisher: Birkhäuser
File Extension: PDF
File size: 6 MB
Pages: 254
Author: Huayi Chen, Atsushi Moriwaki
ISBN: 9783031616679, 3031616677
Language: English
Year: 2024

Product desciption

Positivity In Arakelov Geometry Over Adelic Curves Huayi Chen by Huayi Chen, Atsushi Moriwaki 9783031616679, 3031616677 instant download after payment.

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.

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