A note on varieties of non-negative Kodaira dimension with polarized self maps

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Ankit Rai
DOI: 10.48550/arxiv.2601.17242
Cited by: 0

Abstract

In this note we prove that a smooth projective variety (defined over a field $k$) of non-negative Kodaira dimension that has a $k$-rational point and a polarized self map must be a finite free quotient of an abelian variety.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Geometry and complex manifolds Mathematical Dynamics and Fractals

Publication details

Journal / source
arXiv (Cornell University)
Publication date
24 January 2026
Document type
Preprint