Stable Sheave Moduli of Rank 2 with Chern Classes c 1 = -1; c2 = 2; c3 = 0 on Q3
In this paper we consider the scheme MQ( 2;¡1; 2; 0 ) of stable torsion free sheaves of rank 2 with Chern classes c1 = -1, c2 = 2, c3 = 0 on a smooth 3-dimensional projective quadric Q. The manifold MQ(-1; 2) of moduli bundles of rank 2 with Chern classes c1 = -1, c2 = 2 on Q was studied by Ottavian...
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Yaroslavl State University
2015-02-01
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| Series: | Моделирование и анализ информационных систем |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/16 |
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| author | A. D. Uvarov |
| author_facet | A. D. Uvarov |
| author_sort | A. D. Uvarov |
| collection | DOAJ |
| description | In this paper we consider the scheme MQ( 2;¡1; 2; 0 ) of stable torsion free sheaves of rank 2 with Chern classes c1 = -1, c2 = 2, c3 = 0 on a smooth 3-dimensional projective quadric Q. The manifold MQ(-1; 2) of moduli bundles of rank 2 with Chern classes c1 = -1, c2 = 2 on Q was studied by Ottaviani and Szurek in 1994. In 2007 the author described the closure MQ (-1; 2) in the scheme MQ(2;¡1; 2; 0). In this paper we prove that in MQ(2;¡1; 2; 0) there exists a unique irreducible component diferent from MQ (¡1; 2) which is a rational variety of dimension 10. |
| format | Article |
| id | doaj-art-0728cfffb28d41c99a7824df804306da |
| institution | DOAJ |
| issn | 1818-1015 2313-5417 |
| language | English |
| publishDate | 2015-02-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj-art-0728cfffb28d41c99a7824df804306da2025-08-20T03:01:15ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172015-02-01192194010.18255/1818-1015-2012-2-19-4010Stable Sheave Moduli of Rank 2 with Chern Classes c 1 = -1; c2 = 2; c3 = 0 on Q3A. D. Uvarov0Ярославский государственный педагогический университет им. К.Д. УшинскогоIn this paper we consider the scheme MQ( 2;¡1; 2; 0 ) of stable torsion free sheaves of rank 2 with Chern classes c1 = -1, c2 = 2, c3 = 0 on a smooth 3-dimensional projective quadric Q. The manifold MQ(-1; 2) of moduli bundles of rank 2 with Chern classes c1 = -1, c2 = 2 on Q was studied by Ottaviani and Szurek in 1994. In 2007 the author described the closure MQ (-1; 2) in the scheme MQ(2;¡1; 2; 0). In this paper we prove that in MQ(2;¡1; 2; 0) there exists a unique irreducible component diferent from MQ (¡1; 2) which is a rational variety of dimension 10.https://www.mais-journal.ru/jour/article/view/16compactificationmoduli schemecoherent torsion free sheave of rank 23-dimensional quadric |
| spellingShingle | A. D. Uvarov Stable Sheave Moduli of Rank 2 with Chern Classes c 1 = -1; c2 = 2; c3 = 0 on Q3 Моделирование и анализ информационных систем compactification moduli scheme coherent torsion free sheave of rank 2 3-dimensional quadric |
| title | Stable Sheave Moduli of Rank 2 with Chern Classes c 1 = -1; c2 = 2; c3 = 0 on Q3 |
| title_full | Stable Sheave Moduli of Rank 2 with Chern Classes c 1 = -1; c2 = 2; c3 = 0 on Q3 |
| title_fullStr | Stable Sheave Moduli of Rank 2 with Chern Classes c 1 = -1; c2 = 2; c3 = 0 on Q3 |
| title_full_unstemmed | Stable Sheave Moduli of Rank 2 with Chern Classes c 1 = -1; c2 = 2; c3 = 0 on Q3 |
| title_short | Stable Sheave Moduli of Rank 2 with Chern Classes c 1 = -1; c2 = 2; c3 = 0 on Q3 |
| title_sort | stable sheave moduli of rank 2 with chern classes c 1 1 c2 2 c3 0 on q3 |
| topic | compactification moduli scheme coherent torsion free sheave of rank 2 3-dimensional quadric |
| url | https://www.mais-journal.ru/jour/article/view/16 |
| work_keys_str_mv | AT aduvarov stablesheavemoduliofrank2withchernclassesc11c22c30onq3 |