Skip to Main Content
Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911



On deformations of singular plane sextics

Author: Alex Degtyarev
Journal: J. Algebraic Geom. 17 (2008), 101-135
Published electronically: August 6, 2007
MathSciNet review: 2357681
Full-text PDF

Abstract | References | Additional Information

Abstract: We study complex plane projective sextic curves with simple singularities up to equisingular deformations. It is shown that two such curves are deformation equivalent if and only if the corresponding pairs are diffeomorphic. A way to enumerate all deformation classes is outlined, and a few examples are considered, including classical Zariski pairs; in particular, promising candidates for homeomorphic but not diffeomorphic pairs are found.

References [Enhancements On Off] (What's this?)


Additional Information

Alex Degtyarev
Affiliation: Department of Mathematics, Bilkent University, 06800 Ankara, Turkey
MR Author ID: 271103
ORCID: 0000-0001-6586-4094

Received by editor(s): December 8, 2005
Received by editor(s) in revised form: November 27, 2006
Published electronically: August 6, 2007