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

Algebraic Geometry 2026-01-27 v1

Abstract

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

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Cite

@article{arxiv.2601.17242,
  title  = {A note on varieties of non-negative Kodaira dimension with polarized self maps},
  author = {Ankit Rai},
  journal= {arXiv preprint arXiv:2601.17242},
  year   = {2026}
}

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10 pages