Stable Sheave Moduli of Rank 2 with Chern Classes c 1 = -1; c2 = 2; c3 = 0 on Q3
Copyright policy )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 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.
- Yaroslavl State Pedagogical University Russian Federation
coherent torsion free sheave of rank 2, компактификация, compactification, moduli scheme, когерентный пучок ранга, Information technology, схема модулей, T58.5-58.64, 3-dimensional quadric
coherent torsion free sheave of rank 2, компактификация, compactification, moduli scheme, когерентный пучок ранга, Information technology, схема модулей, T58.5-58.64, 3-dimensional quadric
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