L-infinity algebras, Cartan homotopies and period maps

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dc.creatorFiorenza, Domenico
dc.creatorManetti, Marco
dc.date2006-05-11
dc.date.accessioned2026-07-07T07:14:07Z
dc.date.available2026-07-07T07:14:07Z
dc.descriptionWe 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).
dc.description31 pages, uses xypic
dc.identifierhttps://arxiv.org/abs/math/0605297
dc.identifierhttp://arxiv.org/abs/math/0605297
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112746
dc.subjectAlgebraic Geometry
dc.subjectQuantum Algebra
dc.subject14D07, 17B70, 13D10
dc.titleL-infinity algebras, Cartan homotopies and period maps
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