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- W2890989669 abstract "We study the structure of the stable category $mathsf{underline{CM}}^{mathbb Z}(S/(f))$ of graded maximal Cohen-Macaulay module over $S/(f)$ where $S$ is a graded ($pm 1$)-skew polynomial algebra in $n$ variables of degree 1, and $f =x_1^2 + cdots +x_n^2$. If $S$ is commutative, then the structure of $mathsf{underline{CM}}^{mathbb Z}(S/(f))$ is well-known by Knorrer's periodicity theorem. In this paper, we prove that if $nleq 5$, then the structure of $mathsf{underline{CM}}^{mathbb Z}(S/(f))$ is determined by the number of irreducible components of the point scheme of $S$ which are isomorphic to ${mathbb P}^1$." @default.
- W2890989669 created "2018-09-27" @default.
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- W2890989669 date "2018-09-12" @default.
- W2890989669 modified "2023-09-23" @default.
- W2890989669 title "On Knorrer periodicity for quadric hypersurfaces in skew projective spaces" @default.
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- W2890989669 doi "https://doi.org/10.48550/arxiv.1809.04305" @default.
- W2890989669 hasPublicationYear "2018" @default.
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