HOMOTOPICALLY TRIVIAL DEFORMATIONS

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2012Embargo end date: 01 Jan 2012Publisher:Journal of SingularitiesJournal:Journal of Singularities (eissn: 1949-2006,

Copyright policy )Funded by:EC | TGASS, NSF | Higher dimensional variet...

Authors: Javier Fernández de Bobadilla; János Kollár;

doi: 10.5427/jsing.2012.5f , 10.48550/arxiv.1201.2904

arXiv: 1201.2904

HOMOTOPICALLY TRIVIAL DEFORMATIONS

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Abstract

We study deformations of complex projective varieties that are homotopically or homologically trivial. We formulate several conjectures and give some examples and partial answers.

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Keywords

Mathematics - Algebraic Geometry, Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), 32S15, 14D06, 32S30, 32S50, Algebraic Geometry (math.AG)

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EC| TGASS, NSF| Higher dimensional varieties and their applications