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∞ morphism [Formula presented] that lifts the 1-component of the Buchweitz-Flenner semiregularity map. An application to deformations of coherent sheaves on projective manifolds is given.
Connections and L∞ liftings of semiregularity maps / Lepri, E.; Manetti, M.. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - 168:(2021). [10.1016/j.geomphys.2021.104303]
Connections and L∞ liftings of semiregularity maps
Lepri E.;Manetti M.
2021
Abstract
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∞ morphism [Formula presented] that lifts the 1-component of the Buchweitz-Flenner semiregularity map. An application to deformations of coherent sheaves on projective manifolds is given.File allegati a questo prodotto
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