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On the Zariski-van Kampen Theorem

Published online by Cambridge University Press:  20 November 2018

Ichiro Shimada
Ichiro Shimada*
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan, email: shimada@math.sci.hokudai.ac.jp
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Abstract

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Let $f:\,E\,\to \,B$ be a dominant morphism, where $E$ and $B$ are smooth irreducible complex quasi-projective varieties, and let ${{F}_{b}}$ be the general fiber of $f$. We present conditions under which the homomorphism ${{\text{ }\!\!\pi\!\!\text{ }}_{1}}\left( {{F}_{b}} \right)\,\to \,{{\text{ }\!\!\pi\!\!\text{ }}_{1}}\,\left( E \right)$ induced by the inclusion is injective.

Keywords

14F35
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 55 , Issue 1 , 01 February 2003 , pp. 133 - 156
Copyright
Copyright © Canadian Mathematical Society 2003

References

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