Differential Graded Lie Algebras and Deformations of Holomorphic Maps
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algebrasdeformationsdifferentialgradedholomorphicmanifoldsahlerassociated
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We construct the deformation functor associated to a couple of morphisms of differential graded Lie algebras, and use it to study the infinitesimal deformations of a holomorphic map of compact complex manifolds. In particular, in the case of K\"ahler manifolds we describe a generalizzation of the semiregularity map.
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