Relative homotopical depth and a conjecture of Deligne
type: Item
instance of: scholarly article
title: Relative homotopical depth and a conjecture of Deligne
zbMATH Open document ID: 0795.32014
DOI: 10.1007/BF01445096
author: Helmut A. Hamm
author: Dũng Tráng Lê
published in: Mathematische Annalen
publication date: 1994-03-23T00:00:00Z
full work available at URL: https://eudml.org/doc/165076
review text: 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.
Mathematics Subject Classification ID: 32S50
Mathematics Subject Classification ID: 14B05
Mathematics Subject Classification ID: 14F35
zbMATH DE Number: 537288
zbMATH Keywords: Lefschetz-theorems
zbMATH Keywords: homotopical depth
reviewed by: Gerhard Pfister
MaRDI profile type: Publication
cites work: Lefschetz theorems on quasi-projective varieties
cites work: Local generalizations of Lefschetz-Zariski theorems.
cites work: Q3858550
cites work: Q3998275
cites work: Ensembles et morphismes stratifiés
OpenAlex ID: W1988085878
Wikidata QID: Q123147293
description: scientific article; zbMATH DE number 537288