Some New Components of the Moduli Scheme MP3(2; -1; 2; 0) of Stable Coherent Torsion Free Sheaves of Rank 2 on P3
https://doi.org/10.18255/1818-1015-2012-2-5-18
Abstract
In this paper we consider Giseker-Maruyama moduli scheme M := MP3(2;¡1; 2; 0) of stable coherent torsion free sheaves of rank 2 with Chern classes c1 = -1, c2 = 2, c3 = 0 on 3-dimensional projective space P3. We will de¯ne two sets of sheaves M1 and M2 in M and we will prove that closures of M1 and M2 in M are irreducible components of dimensions 15 and 19, accordingly.
About the Author
M. A. Zavodchikov
Ярославский государственный педагогический университет им. К.Д. Ушинского
Russian Federation
ассистент кафедры геометрии
Russian Federation
ассистент кафедры геометрии
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Review
For citations:
Zavodchikov M.A. Some New Components of the Moduli Scheme MP3(2; -1; 2; 0) of Stable Coherent Torsion Free Sheaves of Rank 2 on P3. Modeling and Analysis of Information Systems. 2012;19(2):5-18. (In Russ.) https://doi.org/10.18255/1818-1015-2012-2-5-18
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