Papers › Bayer-Macrì decomposition on Bridgeland moduli spaces over surfaces
Bayer-Macrì decomposition on Bridgeland moduli spaces over surfaces
Wanmin Liu
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We find a decomposition formula of the local Bayer-Macr\`i map for the nef line bundle theory on the Bridgeland moduli space over surface. If there is a global Bayer-Macr\`i map, such decomposition gives a precise correspondence from Bridgeland walls to Mori walls. As an application, we compute the nef cone of the Hilbert scheme S^([n]) of n-points over special kinds of fibered surface S of Picard rank two.
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