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Moduli of sheaves supported on Quartic space curves

Moduli of sheaves supported on Quartic space curves

As a continuation of the work of Freiermuth and Trautmann, we study the geometry of the moduli space of stable sheaves on P 3 with Hilbert polynomial 4m + 1.The moduli space has three irreducible components whose generic elements are, respectively, sheaves supported on rational quartic curves, on elliptic quartic …