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Moduli of space sheaves with Hilbert polynomial $4m+1$

  • Mario Maican,
    Institute of Mathematics of the Romanian Academy, Calea Grivitei 21, Bucharest 010702, Romania
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Abstract

We investigate the moduli space of sheaves supported on space curves of degree $4$ and having Euler characteristic $1$. We give an elementary proof of the fact that this moduli space consists of three irreducible components.
Keywords: moduli of sheaves, semi-stable sheaves moduli of sheaves, semi-stable sheaves
MSC Classifications: 14D20, 14D22 show english descriptions Algebraic moduli problems, moduli of vector bundles {For analytic moduli problems, see 32G13}
Fine and coarse moduli spaces
14D20 - Algebraic moduli problems, moduli of vector bundles {For analytic moduli problems, see 32G13}
14D22 - Fine and coarse moduli spaces
 

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