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

Damien Mégy (1)

1 IF - Institut Fourier

We construct smooth complex projective varieties of dimension 3 to 6 with variations of Hodge structure, by generalizing an example of J. Carlson and C. Simpson in dimension 2. Then, we study some of their properties, in particular their cohomology groups.

Mots clés: variation of Hodge Structure; intersection cohomology; Hodge modules

Domaines: Géométrie algébrique [math.AG]

Damien Mégy. Sections hyperplanes à singularités simples et exemples de variations de structure de Hodge. 2010. ⟨hal-00545648⟩