On the moduli scheme of stable sheaves supported on cubic space curves

Details On the moduli scheme of stable sheaves supported on cubic space curves On the moduli scheme of stable sheaves supported on cubic space curves

2002-04-11

arxiv.org/abs/math/0204156v2

Amer. J. Math. 126, 2 (2004), 363-393

Mathematics

Algebraic Geometry

28 pages, LaTeX; minor changes, to appear in Amer. J. Math

Scientific paper

We investigate the geometry of the Simpson moduli space M of stable sheaves on P_3 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 Hilb_H(P_3) of cubic space curves. We also compute the Betti numbers of the Chow groups of the moduli space M.

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