The Effective Cone of the Moduli Space of Sheaves on the Plane
نویسنده
چکیده
Let ξ be the Chern character of a stable coherent sheaf on P. We compute the cone of effective divisors on the moduli space M(ξ) of semistable sheaves on P with Chern character ξ. The computation hinges on finding a good resolution of the general sheaf in M(ξ). This resolution is determined by Bridgeland stability and arises from a well-chosen Beilinson spectral sequence. The existence of a good choice of spectral sequence depends on remarkable number-theoretic properties of the slopes of exceptional bundles.
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