Geography of irreducible plane sextics

Abstract

We complete the equisingular deformation classification of irreducible singular plane sextic curves. As a by-product, we also compute the fundamental groups of the complement of all but a few maximizing sextics.

Final version. Minor improvements; a few references added; newer results announced

References in corpus (3)

• Oka's conjecture on irreducible plane sextics
• Mordell-Weil groups of elliptic threefolds and the Alexander module of plane curves
• Stable symmetries of plane sextics

Cited by in corpus (7)

• Lines on quartic surfaces
• Rational double points on Enriques surfaces
• Conics in Kummer quartics
• Duality of planar and spacial curves: new insight
• Classification of simple quartics up to equisingular deformation
• Real plane sextics without real points
• Conics on Barth--Bauer octics