L-infinity algebras, Cartan homotopies and period maps

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We prove that, for every compact Kaehler manifold, the period map of its Kuranishi family is induced by a natural L-infinity morphism. This implies, by standard facts about L-infinity algebras, that the period map is a "morphism of deformation theories" and then commutes with all deformation theoretic constructions (e.g. obstructions).
31 pages, uses xypic

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Algebraic Geometry, Quantum Algebra, 14D07, 17B70, 13D10

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http://salesiana.dossiersoluciones.com/handle/123456789/112746

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605297
 http://arxiv.org/abs/math/0605297

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arXiv