Positivity in Arakelov Geometry ove - E-book

eBook

Positivity In Arakelov Geometry Over Adelic Curves - ENG

Hilbert-samuel Formula And Equidistribution Theorem

Huayi Chen; Atsushi Moriwaki

eBook

$3,200.00

Disponible

Información adicional
Sinopsis

ISBN:	9783031616686
Formato:	ePub
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Geometría algebraica
Año de publicación:	2024-08-21

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.

eBooks