Skew graded $(A_\infty )$ hypersurface singularities

Kenta Ueyama

doi:10.5802/crmath.415

Algebra

Skew graded

(A_{\infty})

hypersurface singularities

Kenta Ueyama ¹

¹ Department of Mathematics, Faculty of Education, Hirosaki University, 1 Bunkyocho, Hirosaki, Aomori 036-8560, Japan

Comptes Rendus. Mathématique, Volume 361 (2023), pp. 521-534.

Abstract

For a skew version of a graded $(A_{\infty})$ hypersurface singularity $A$ , we study the stable category of graded maximal Cohen-Macaulay modules over $A$ . As a consequence, we see that $A$ has countably infinite Cohen–Macaulay representation type and is not a noncommutative graded isolated singularity.

Received: 2022-04-19
Revised: 2022-08-11
Accepted: 2022-08-27
Published online: 2023-02-01

DOI: 10.5802/crmath.415

Classification: 16G50, 16S38, 18G80, 05C50

Author's affiliations:

Kenta Ueyama ¹

¹ Department of Mathematics, Faculty of Education, Hirosaki University, 1 Bunkyocho, Hirosaki, Aomori 036-8560, Japan

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     author = {Kenta Ueyama},
     title = {Skew graded $(A_\infty )$ hypersurface singularities},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {521--534},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {361},
     year = {2023},
     doi = {10.5802/crmath.415},
     language = {en},
}

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Kenta Ueyama. Skew graded $(A_\infty )$ hypersurface singularities. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 521-534. doi : 10.5802/crmath.415. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.415/

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