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Change of polarization for moduli of sheaves on surfaces as Bridgeland wall-crossing

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 Added by Cristian Martinez
 Publication date 2015
  fields
and research's language is English




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We prove that the Thaddeus flips of $L$-twisted sheaves constructed by Matsuki and Wentworth can be obtained via Bridgeland wall-crossing. Similarly, we realize the change of polarization for moduli spaces of 1-dimensional Gieseker semistable sheaves on a surface by varying a family of stability conditions.



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110 - Zhiyu Liu , Shizhuo Zhang 2021
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