On the moduli scheme of stable sheaves supported on cubic space curves
Abstract
We investigate the geometry of the Simpson moduli space M of stable sheaves on P3 with Hilbert polynomial H(m)=3m+1 and describe explicitly the two smooth, rational components, their 11-dimensional smooth, transversal intersection and the relation between M and the Hilbert scheme HilbH(P3) of cubic space curves. We also compute the Betti numbers of the Chow groups of the moduli space M.
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