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Smoothness and Poisson structures of Bridgeland moduli spaces on Poisson surfaces |
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| Authors: | Li Chunyi Zhao Xiaolei |
| Institution: | 1.Mathematics Institute, University of Warwick, Coventry, UK ;2.Department of Mathematics, Northeastern University, Boston, USA ; |
| Abstract: | Let X be a projective smooth holomorphic Poisson surface, in other words, whose anti-canonical bundle is effective. We show that moduli spaces of certain Bridgeland stable objects on X are smooth. Moreover, we construct Poisson structures on these moduli spaces. |
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