English

Sections hyperplanes \`a singularit\'es simples et exemples de variations de structure de Hodge

Algebraic Geometry 2010-12-14 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1012.2481,
  title  = {Sections hyperplanes \`a singularit\'es simples et exemples de variations de structure de Hodge},
  author = {Damien Mégy},
  journal= {arXiv preprint arXiv:1012.2481},
  year   = {2010}
}

Comments

24 pages, in french

R2 v1 2026-06-21T16:57:07.205Z