The effective cone of the moduli space of sheaves on the plane
Izzet Coskun
University of Illinois at Chicago, USAJack Huizenga
The Pennsylvania State University, University Park, USAMatthew Woolf
University of Illinois at Chicago, USA
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Abstract
Let be the Chern character of a stable coherent sheaf on . We compute the cone of effective divisors on the moduli space of semistable sheaves on with Chern character . The computation hinges on finding a good resolution of the general sheaf in . 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.
Cite this article
Izzet Coskun, Jack Huizenga, Matthew Woolf, The effective cone of the moduli space of sheaves on the plane. J. Eur. Math. Soc. 19 (2017), no. 5, pp. 1421–1467
DOI 10.4171/JEMS/696