Skew graded $(A_\infty )$ hypersurface singularities
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 singulari...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-02-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.415/ |
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| author | Ueyama, Kenta |
| author_facet | Ueyama, Kenta |
| author_sort | Ueyama, Kenta |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d197237df4674db1bc49988018f5bf5c |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-02-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-d197237df4674db1bc49988018f5bf5c2025-02-07T11:06:36ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-02-01361G252153410.5802/crmath.41510.5802/crmath.415Skew graded $(A_\infty )$ hypersurface singularitiesUeyama, Kenta0Department of Mathematics, Faculty of Education, Hirosaki University, 1 Bunkyocho, Hirosaki, Aomori 036-8560, JapanFor 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.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.415/ |
| spellingShingle | Ueyama, Kenta Skew graded $(A_\infty )$ hypersurface singularities Comptes Rendus. Mathématique |
| title | Skew graded $(A_\infty )$ hypersurface singularities |
| title_full | Skew graded $(A_\infty )$ hypersurface singularities |
| title_fullStr | Skew graded $(A_\infty )$ hypersurface singularities |
| title_full_unstemmed | Skew graded $(A_\infty )$ hypersurface singularities |
| title_short | Skew graded $(A_\infty )$ hypersurface singularities |
| title_sort | skew graded a infty hypersurface singularities |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.415/ |
| work_keys_str_mv | AT ueyamakenta skewgradedainftyhypersurfacesingularities |