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Differential Graded Lie Algebras and Deformations of Holomorphic Maps

Donatella Iacono
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Abstract

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 Kähler manifolds we describe a generalizzation of the semiregularity map.

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Donatella Iacono. 2007-01-03. Differential Graded Lie Algebras and Deformations of Holomorphic Maps. https://arxiv.org/abs/math/0701091

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