Positivity in Arakelov Geometry over Adelic Curves

Positivity in Arakelov Geometry over Adelic Curves

Hilbert-Samuel Formula and Equidistribution Theorem

Versandkostenfrei!
Versandfertig in 6-10 Tagen
112,99 €
inkl. MwSt.
Weitere Ausgaben:
PAYBACK Punkte
56 °P sammeln!
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...