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

Published:2017-07-12

• 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
 MSC Classifications: 14D20 - Algebraic moduli problems, moduli of vector bundles {For analytic moduli problems, see 32G13} 14D22 - Fine and coarse moduli spaces

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