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Connections and L∞ liftings of semiregularity maps
Journal of Geometry and Physics ( IF 1.6 ) Pub Date : 2021-06-04 , DOI: 10.1016/j.geomphys.2021.104303
Emma Lepri , Marco Manetti

Let E be a finite complex of locally free sheaves on a complex manifold X. We prove that to every connection of type (1,0) on E it is canonically associated an L morphismg:AX0,(HomOX(E,E))AX,AX2,[2] that lifts the 1-component of the Buchweitz-Flenner semiregularity map. An application to deformations of coherent sheaves on projective manifolds is given.



中文翻译:

半正则映射的连接和L 提升

是复流形X上局部自由滑轮的有限复形。我们证明对于每一个类型的连接(1,0) 它规范地关联了一个 态射G一种X0,(HX(,))一种X,一种X2,[2]这提升了 Buchweitz-Flenner 半正则映射的 1 分量。给出了投影流形上相干滑轮变形的应用。

更新日期:2021-06-10
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