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# Logarithms and the Topology of the Complement of a Hypersurface

Published:2005-09-01
Printed: Sep 2005
• E. S. Zeron
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## Abstract

This paper is devoted to analysing the relation between the logarithm of a non-constant holomorphic polynomial $Q(z)$ and the topology of the complement of the hypersurface defined by $Q(z)=0$.
 Keywords: Logarithm, homology groups and periods
 MSC Classifications: 32Q55 - Topological aspects of complex manifolds 14F45 - Topological properties