Geodesic
The effective cone of the moduli space of sheaves on the plane
Journal of the European Mathematical Society, Tome 19 (2017) no. 5, pp. 1421-1467

Voir la notice de l'article provenant de la source EMS Press

Let ξ be the Chern character of a stable coherent sheaf on P2. We compute the cone of effective divisors on the moduli space M(ξ) of semistable sheaves on P2 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.
DOI : 10.4171/jems/696
Classification : 14-XX, 13-XX
Keywords: Moduli spaces of sheaves, Bridgeland stability, effective cone, Brill–Noether divisors 
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     title = {The effective cone of the moduli space of sheaves on the plane},
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Izzet Coskun; Jack Huizenga; Matthew Woolf. The effective cone of the moduli space of sheaves on the plane. Journal of the European Mathematical Society, Tome 19 (2017) no. 5, pp. 1421-1467. doi: 10.4171/jems/696

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