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arXiv · 1604.02684

Periodic subvarieties of a projective variety under the action of a maximal rank abelian group of positive entropy

Fei Hu·Sheng-Li Tan·De-Qi Zhang
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Abstract

We determine positive-dimensional G-periodic proper subvarieties of an n-dimensional normal projective variety X under the action of an abelian group G of maximal rank n-1 and of positive entropy. The motivation of the paper is to understand the obstruction for X to be G-equivariant birational to the quotient variety of an abelian variety modulo the action of a finite group.

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Fei Hu, Sheng-Li Tan, De-Qi Zhang. 2016-04-10. Periodic subvarieties of a projective variety under the action of a maximal rank abelian group of positive entropy. https://doi.org/10.4310/ajm.2018.v22.n3.a3

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