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arXiv · 1806.11054

Periodic subvarieties of semiabelian varieties and annihilators of irreducible representations

Jason P. Bell·Dragos Ghioca
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Abstract

Let $G$ be a semiabelian variety defined over a field of characteristic $0$, endowed with an endomorphism $\Phi$. We prove there is no proper subvariety $Y\subset G$ which intersects the orbit of each periodic point of $G$ under the action of $\Phi$. As an application, we are able to give a topological characterization of the annihilator ideals of irreducible representations in certain skew polynomial algebras.

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Jason P. Bell, Dragos Ghioca. 2018-06-28. Periodic subvarieties of semiabelian varieties and annihilators of irreducible representations. https://arxiv.org/abs/1806.11054

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