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arXiv · 1301.2105

On the Artal--Carmona--Cogolludo construction

Alex Degtyarev
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Abstract

We derive explicit defining equations for a number of irreducible maximizing plane sextics with double singular points only. For most real curves, we also compute the fundamental group of the complement; all groups found are abelian. As a by-product, examples of Zariski pairs in the strongest possible sense are constructed.

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Alex Degtyarev. 2014-06-06. On the Artal--Carmona--Cogolludo construction. https://doi.org/10.1142/s021821651450028x

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