Smoothness and Poisson structures of Bridgeland moduli spaces on Poisson surfaces

2016/12/08 by Li, Chunyi, Zhao, Xiaolei
#14F05 #14J99 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1612.02729

Abstract

Let X be a projective smooth holomorphic Poisson surface, in other words, whose anti-canonical divisor 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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