Sections hyperplanes à singularités simples et exemples de variations de structure de Hodge

Abstract : We construct and study a class of examples of variations of Hodge structure (VHS) on compact complex varieties. In the first part, we construct smooth projective varieties carrying VHS by using certain families of hyperplane sections with ADE singularities. Then we analyse these VHS from two different points of view: we first study their period map, then we use the decomposition theorem of M. Saito to explore their cohomological properties.
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Theses
Mathematics. Université de Grenoble, 2010. French


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Contributor : Damien Mégy <>
Submitted on : Tuesday, July 13, 2010 - 11:48:13 PM
Last modification on : Thursday, July 15, 2010 - 1:03:14 PM

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Damien Mégy. Sections hyperplanes à singularités simples et exemples de variations de structure de Hodge. Mathematics. Université de Grenoble, 2010. French. <tel-00502378>

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