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Birkhauser Positivity in Arakelov Geometry - Math Vol 355

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Description

Explore new research in arithmetic geometry with this monograph from Birkhauser. Part of the Progress in Mathematics series (Volume 355), this book presents a novel theory of Arakelov geometry over adelic curves. The text establishes the Hilbert-Samuel formula and the equidistribution theorem within the context of adelic curves, providing a foundation for advanced mathematical study. The work connects several classical topics in Diophantine geometry and Arakelov geometry. Readers will find detailed analysis of the arithmetic Hilbert-Samuel formula, the positivity of line bundles, and the equidistribution of small subvarieties. It also covers theorems that resemble the Bogomolov conjecture. This volume provides detailed proofs and explanations for researchers and students working in mathematical theory.

Key Features

This Birkhauser monograph presents new research on Arakelov geometry over adelic curves.

The text establishes the Hilbert-Samuel formula and the equidistribution theorem for adelic curves.

It explores connections to the arithmetic Hilbert-Samuel formula and the positivity of line bundles.

The book covers the equidistribution of small subvarieties and theorems resembling the Bogomolov conjecture.

This volume in the Progress in Mathematics series provides detailed proofs and explanations for complex theories.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
22 August 2024
Listed Since
24 April 2024

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