Reducibility of the Moduli Space of Stable Rank 2 Reflexive Sheaves with Chern Classes c1 = −1, c2 = 4, c3 = 2 on Projective Space P³
We prove the reducibility of the moduli space MrefP³(2; −1, 4, 2) of stable rank 2 re- flexive sheaves with Chern classes c₁ = −1, c₂ = 4, c₃ = 2 on projective space P³. This gives the first example of a reducible space in the series of moduli spaces of stable rank 2 reflexive sheaves with Chern cla...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2014-04-01
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| Series: | Моделирование и анализ информационных систем |
| Subjects: | |
| Online Access: | https://www.mais-journal.ru/jour/article/view/122 |
| _version_ | 1826558974045978624 |
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| author | A. S. Tikhomirov M. A. Zavodchikov |
| author_facet | A. S. Tikhomirov M. A. Zavodchikov |
| author_sort | A. S. Tikhomirov |
| collection | DOAJ |
| description | We prove the reducibility of the moduli space MrefP³(2; −1, 4, 2) of stable rank 2 re- flexive sheaves with Chern classes c₁ = −1, c₂ = 4, c₃ = 2 on projective space P³. This gives the first example of a reducible space in the series of moduli spaces of stable rank 2 reflexive sheaves with Chern classes c₁= −1, c₂ = 4, c₃ = 2m, m = 1, 2, 3, 4, 5, 6, 8. We find two components of the expected dimension 27 of this space and give their geometric description via the Serre construction. |
| first_indexed | 2024-04-10T02:25:02Z |
| format | Article |
| id | doaj.art-84ef56d3ddb04ab1b8f0db0a23c61de8 |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2025-03-14T08:53:00Z |
| publishDate | 2014-04-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-84ef56d3ddb04ab1b8f0db0a23c61de82025-03-02T12:46:55ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172014-04-01212909610.18255/1818-1015-2014-2-90-96116Reducibility of the Moduli Space of Stable Rank 2 Reflexive Sheaves with Chern Classes c1 = −1, c2 = 4, c3 = 2 on Projective Space P³A. S. Tikhomirov0M. A. Zavodchikov1Yaroslavl State Pedagogical University named after K.D. UshinskyYaroslavl State Pedagogical University named after K.D. UshinskyWe prove the reducibility of the moduli space MrefP³(2; −1, 4, 2) of stable rank 2 re- flexive sheaves with Chern classes c₁ = −1, c₂ = 4, c₃ = 2 on projective space P³. This gives the first example of a reducible space in the series of moduli spaces of stable rank 2 reflexive sheaves with Chern classes c₁= −1, c₂ = 4, c₃ = 2m, m = 1, 2, 3, 4, 5, 6, 8. We find two components of the expected dimension 27 of this space and give their geometric description via the Serre construction.https://www.mais-journal.ru/jour/article/view/122moduli spacestable reflexive sheafserre construction |
| spellingShingle | A. S. Tikhomirov M. A. Zavodchikov Reducibility of the Moduli Space of Stable Rank 2 Reflexive Sheaves with Chern Classes c1 = −1, c2 = 4, c3 = 2 on Projective Space P³ Моделирование и анализ информационных систем moduli space stable reflexive sheaf serre construction |
| title | Reducibility of the Moduli Space of Stable Rank 2 Reflexive Sheaves with Chern Classes c1 = −1, c2 = 4, c3 = 2 on Projective Space P³ |
| title_full | Reducibility of the Moduli Space of Stable Rank 2 Reflexive Sheaves with Chern Classes c1 = −1, c2 = 4, c3 = 2 on Projective Space P³ |
| title_fullStr | Reducibility of the Moduli Space of Stable Rank 2 Reflexive Sheaves with Chern Classes c1 = −1, c2 = 4, c3 = 2 on Projective Space P³ |
| title_full_unstemmed | Reducibility of the Moduli Space of Stable Rank 2 Reflexive Sheaves with Chern Classes c1 = −1, c2 = 4, c3 = 2 on Projective Space P³ |
| title_short | Reducibility of the Moduli Space of Stable Rank 2 Reflexive Sheaves with Chern Classes c1 = −1, c2 = 4, c3 = 2 on Projective Space P³ |
| title_sort | reducibility of the moduli space of stable rank 2 reflexive sheaves with chern classes c1 1 c2 4 c3 2 on projective space p³ |
| topic | moduli space stable reflexive sheaf serre construction |
| url | https://www.mais-journal.ru/jour/article/view/122 |
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