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Homotopical variations and high-dimensional Zariski-van Kampen theorems

Authors: D. Chéniot and C. Eyral
Journal: Trans. Amer. Math. Soc. 358 (2006), 1-10
MSC (2000): Primary 14F35; Secondary 14D05, 32S50, 55Q99
Published electronically: August 25, 2005
MathSciNet review: 2171220
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Abstract: We give a new definition of the homotopical variation operators occurring in a recent high-dimensional Zariski-van Kampen theorem, a definition which opens the way to further generalizations of theorems of this kind.

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Additional Information

D. Chéniot
Affiliation: LATP, URA CNRS 225, Centre de Mathématiques et Informatique, Université de Provence, 39 rue F. Joliot-Curie, 13453 Marseille cédex 13, France

C. Eyral
Affiliation: Department of Mathematics, The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34014 Trieste, Italy

Keywords: Homotopy groups of algebraic varieties, pencils of hyperplanes, monodromies
Received by editor(s): December 9, 2002
Published electronically: August 25, 2005
Article copyright: © Copyright 2005 American Mathematical Society