Reducibility of the Moduli Space of Stable Rank 2 Reflexive Sheaves with Chern Classes c1 = −1, c2 = 4, c3 = 2 on Projective Space P³
https://doi.org/10.18255/1818-1015-2014-2-90-96
Abstract
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.
About the Authors
A. S. Tikhomirov
Yaroslavl State Pedagogical University named after K.D. Ushinsky
Russian Federation
Russian Federation
научный сотрудник ,
Respublikanskaya st., 108, Yaroslavl, 150000, Russia
M. A. Zavodchikov
Yaroslavl State Pedagogical University named after K.D. Ushinsky
Russian Federation
Russian Federation
старший преподаватель кафедры геометрии и алгебры,
Respublikanskaya st., 108, Yaroslavl, 150000, Russia
References
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Review
For citations:
Tikhomirov A.S., Zavodchikov M.A. Reducibility of the Moduli Space of Stable Rank 2 Reflexive Sheaves with Chern Classes c1 = −1, c2 = 4, c3 = 2 on Projective Space P³. Modeling and Analysis of Information Systems. 2014;21(2):90-96. (In Russ.) https://doi.org/10.18255/1818-1015-2014-2-90-96
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