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Positivity in Arakelov Geometry over Adelic Curves

By Atsushi Moriwaki

Positivity in Arakelov Geometry over Adelic Curves Mathematics

Positivity in Arakelov Geometry over Adelic Curves

0 - Default Title
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.
Product details
Edition:
1
Number of Pages:
264
Release Date:
2024-08-22
Publication Date:
2024-08-22
Publisher:
Springer Nature Switzerland
Languages:
Original: English
ISBN10:
3031616677
ISBN13:
9783031616679
GPSR Manufacturer Reference:
[email protected]
Weight:
565 g
Height:
160 cm
Width:
241 cm
Thickness:
20 cm
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