Exceptional hereditary curves and real curve orbifolds
In this paper, we elaborate the theory of exceptional hereditary curves over arbitrary fields. In particular, we study the category of equivariant coherent sheaves on a regular projective curve whose quotient curve has genus zero and prove existence of a tilting object in this case. We also establis...
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| Datum: | 2025 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2025
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2365 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543148625362944 |
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| author | Burban, Igor |
| author_facet | Burban, Igor |
| author_sort | Burban, Igor |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2025-01-19T19:44:59Z |
| description | In this paper, we elaborate the theory of exceptional hereditary curves over arbitrary fields. In particular, we study the category of equivariant coherent sheaves on a regular projective curve whose quotient curve has genus zero and prove existence of a tilting object in this case. We also establish a link between wallpaper groups and real hereditary curves, providing details to an old observation made by Helmut Lenzing. |
| first_indexed | 2026-02-08T07:57:50Z |
| format | Article |
| id | admjournalluguniveduua-article-2365 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:57:50Z |
| publishDate | 2025 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-23652025-01-19T19:44:59Z Exceptional hereditary curves and real curve orbifolds Burban, Igor non-commutative curves, hereditary algebras and orders, equivariant coherent sheaves, Klein surfaces, tilting theory In this paper, we elaborate the theory of exceptional hereditary curves over arbitrary fields. In particular, we study the category of equivariant coherent sheaves on a regular projective curve whose quotient curve has genus zero and prove existence of a tilting object in this case. We also establish a link between wallpaper groups and real hereditary curves, providing details to an old observation made by Helmut Lenzing. Lugansk National Taras Shevchenko University 2025-01-19 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2365 10.12958/adm2365 Algebra and Discrete Mathematics; Vol 38, No 2 (2024): A special issue 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2365/pdf Copyright (c) 2025 Algebra and Discrete Mathematics |
| spellingShingle | non-commutative curves hereditary algebras and orders equivariant coherent sheaves Klein surfaces tilting theory Burban, Igor Exceptional hereditary curves and real curve orbifolds |
| title | Exceptional hereditary curves and real curve orbifolds |
| title_full | Exceptional hereditary curves and real curve orbifolds |
| title_fullStr | Exceptional hereditary curves and real curve orbifolds |
| title_full_unstemmed | Exceptional hereditary curves and real curve orbifolds |
| title_short | Exceptional hereditary curves and real curve orbifolds |
| title_sort | exceptional hereditary curves and real curve orbifolds |
| topic | non-commutative curves hereditary algebras and orders equivariant coherent sheaves Klein surfaces tilting theory |
| topic_facet | non-commutative curves hereditary algebras and orders equivariant coherent sheaves Klein surfaces tilting theory |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2365 |
| work_keys_str_mv | AT burbanigor exceptionalhereditarycurvesandrealcurveorbifolds |