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arXiv · 1502.01668

Noncommutative ampleness from finite endomorphisms

D. S. Keeler·K. Retert
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Abstract

Let $X$ be a projective integral scheme with endomorphism $σ$, where $σ$ is finite, but not an automorphism. We examine noncommutative ampleness of bimodules defined by $σ$. In contrast to the automorphism case, one-sided ampleness is possible. We also find that rings and bimodule algebras associated with $σ$ are not noetherian.

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D. S. Keeler, K. Retert. 2015-02-05. Noncommutative ampleness from finite endomorphisms. https://doi.org/10.1016/j.jalgebra.2015.01.025

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