 |
|
On the Zariski-van Kampen Theorem |
Canad. J. Math. 55(2003), 133-156
Published:2003-02-01
Printed: Feb 2003
Printed: Feb 2003
- Ichiro Shimada
Abstract
Let $f \colon E\to B$ 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 $\pi_1 (F_b)\to \pi_1 (E)$ induced by the inclusion is
injective.
| MSC Classifications: | 14F35 - Homotopy theory; fundamental groups [See also 14H30] |