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arXiv · 1501.06397

Bayer-Macr\`i decomposition on Bridgeland moduli spaces over surfaces

Wanmin Liu
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Abstract

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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Wanmin Liu. 2015-01-26. Bayer-Macr\`i decomposition on Bridgeland moduli spaces over surfaces. https://doi.org/10.1215/21562261-2017-0031

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