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arXiv · 2601.17242

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

Ankit Rai
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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.

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Ankit Rai. 2026-01-24. A note on varieties of non-negative Kodaira dimension with polarized self maps. https://arxiv.org/abs/2601.17242

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