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- W1931401069 abstract "In this paper, we introduce a notion of ampleness of a group action $G$ on a right noetherian graded algebra $A$, and show that it is strongly related to the notion of $A^G$ to be a graded isolated singularity introduced by the second author of this paper. Moreover, if $S$ is a noetherian AS-regular algebra and $G$ is a finite ample group acting on $S$, then we will show that ${mathcal D}^b(operatorname{tails} S^G)cong {cal D}^b(operatorname{mod} nabla S*G)$ where $nabla S$ is the Beilinson algebra of $S$. We will also explicitly calculate a quiver $Q_{S, G}$ such that ${mathcal D}^b(operatorname{tails} S^G)cong {mathcal D}^b(operatorname{mod} kQ_{S, G})$ when $S$ is of dimension 2." @default.
- W1931401069 created "2016-06-24" @default.
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- W1931401069 date "2014-04-20" @default.
- W1931401069 modified "2023-09-24" @default.
- W1931401069 title "Ample Group Action on AS-regular Algebras and Noncommutative Graded Isolated Singularities" @default.
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- W1931401069 doi "https://doi.org/10.48550/arxiv.1404.5045" @default.
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