Relative homotopical depth and a conjecture of Deligne
The notion of relative rectified homotopical depth for complex analytic morphisms is introduced as a generalization of Grothendiecks definition for a complex analytic space. As in the absolute case relative Lefschetz- type theorems for morphisms are proved. Applications lead to a generalization of a conjecture of Deligne and theorems of Lefschetz-type on singular spaces.
scientific article; zbMATH DE number 537288