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The Zariski-Lefschetz principle for higher homotopy groups of nongeneric pencils

2002/07/31 by Mihai Tibar
Mathematics · #math.AG #math.CV #msc:32S50 #msc:14F35 #msc:14F45 #msc:53C40 #msc:53C35 #msc:58F05 #msc:32S22

paper · pdf · doi:10.1017/cbo9780511543166

published as Section 11 in: Polynomials and vanishing cycles. Cambridge Tracts in Mathematics, 170. Cambridge University Press, Cambridge, 2007. xii+253 pp. ISBN: 978-0-521-82920-5 · 17 p.; based on the Newton Institute preprint NI01029, June 2001

arxiv created 2005/04/08 · arxiv updated 2016/02/29

Abstract

We prove a general Zariski-van Kampen-Lefschetz type theorem for higher homotopy groups of generic and nongeneric pencils on singular open complex spaces.

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