Vol. 265, No. 2, 2013

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On plane sextics with double singular points

Alex Degtyarev

Vol. 265 (2013), No. 2, 327–348
Abstract

We compute the fundamental groups of five maximizing sextics with double singular points only; in four cases, the groups are as expected. The approach used would apply to other sextics as well, given their equations.

Keywords
plane sextic, torus type, fundamental group, tetragonal curve
Mathematical Subject Classification 2000
Primary: 14H45
Secondary: 14H30, 14H50
Milestones
Received: 10 July 2012
Revised: 29 December 2012
Accepted: 1 January 2013
Published: 28 August 2013
Authors
Alex Degtyarev
Department of Mathematics
Bilkent University
06800 Ankara
Turkey