Du théoréme de décomposition á la Pureté locale

Fouad Elzein (1) , Lê Dung Trang (2)

1 IMJ - Institut de Mathématiques de Jussieu
2 LATP - Laboratoire d'Analyse, Topologie, Probabilités

A new proof of the decomposition theorem is established using a relation with a version of the local purity theorem of Deligne and Gabber adapted to complex algebraic varieties.

Mots clés: Mixed Hodge structure; perverse sheaf; topology of algebraic morphisms; "Mixed Hodge structure"; "perverse sheaf"; "topology of algebraic morphisms"

Domaines: Géométrie algébrique [math.AG]

Fouad Elzein, Lê Dung Trang. Du théoréme de décomposition á la Pureté locale. 2013. ⟨hal-00911800⟩