Differential Graded Lie Algebras and Deformations of Holomorphic Maps

Details Differential Graded Lie Algebras and Deformations of Holomorphic Maps Differential Graded Lie Algebras and Deformations of Holomorphic Maps

2007-01-03

arxiv.org/abs/math/0701091v1

Mathematics

Algebraic Geometry

PhD Thesis, 117 pages

Scientific paper

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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