L-infinity Algebras and Deformations of Holomorphic Maps
Algebraic Geometry
2008-04-03 v2 Quantum Algebra
Abstract
We construct the deformation functor associated with a pair of morphisms of differential graded Lie algebras, and use it to study infinitesimal deformations of holomorphic maps of compact complex manifolds. In particular, using L-infinity structures, we give an explicit description of the differential graded Lie algebra that controls this problem.
Keywords
Cite
@article{arxiv.0705.4532,
title = {L-infinity Algebras and Deformations of Holomorphic Maps},
author = {Donatella Iacono},
journal= {arXiv preprint arXiv:0705.4532},
year = {2008}
}
Comments
Revised Version; 26 pages