Work

Heights, algebraic dynamics and Berkovich analytic spaces

Year: 2009

Type: article

Abstract: The present paper is an exposition on heights and their importance in the modern study of algebraic dynamics. We will explain the idea of canonical height and its surprising relation to algebraic dynamics, invariant measures, arithmetic intersection theory, equidistribution and p-adic analytic geometry. AMS Classification 2000:Primary: 14G40; Secondary: 11G50, 28C10,14C17. Keywords: height function, algebraic dynamics, analytic spaces.

Source: São Paulo Journal of Mathematical Sciences

DOI: 10.11606/issn.2316-9028.v3i1p77-94

Author: Jorge Pineiro

Institutions: City University of New York, Bronx Community College

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2067383149

FWCI:

Cites: 24

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Related to: 10