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Solvable Fundamental Groups of Algebraic Varieties and Käler Manifolds

Published online by Cambridge University Press:  04 December 2007

DONU ARAPURA  and
MADHAV NORI
DONU ARAPURA
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, IN 47907, U.S.A. e-mail: [email protected]
MADHAV NORI
Affiliation:
Department of Mathematics, University of Chicago, Chicago, IL 60637, U.S.A.
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Abstract

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It is shown that if the fundamental group of a normal algebraic variety, respectively Zariski open subset of a compact Kähler manifold, is solvable with a faithful linear representation over Q, respectively polycyclic, then it is virtually nilpotent.

Keywords

fundamental groupsKähler manifoldalgebraic variety.
Type
Research Article
Information
Compositio Mathematica , Volume 116 , Issue 2 , April 1999 , pp. 173 - 188
Copyright
© 1999 Kluwer Academic Publishers