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arXiv · 0810.5533

Characterization of Line Arrangement for which the Fundamental Group of the Complement is a Direct Product of Free Groups

Eliyahu Meital·Liberman Eran·Schaps Mary·Teicher Mina
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Abstract

Kwai Man Fan proved that if the intersection lattice of a line arrangement does not contain a cycle, then the fundamental group of its complement is a direct sum of infinite and cyclic free groups. He also conjectured that the converse is true as well. The main purpose of this paper is to prove this conjecture

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Eliyahu Meital, Liberman Eran, Schaps Mary, Teicher Mina. 2009-07-29. Characterization of Line Arrangement for which the Fundamental Group of the Complement is a Direct Product of Free Groups. https://doi.org/10.2140/agt.2010.10.1285

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