On deformations of singular plane sextics

By A. Degtyarev. 2005

67 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/99571a0526e923c42dcbd175e94c80133f812c04

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Bert van Geemen
2. A. Sarti
3. D. Huybrechts
4. Giovanni Mongardi
5. Charles F. Doran
6. Adrian Clingher
7. Giancarlo Urzúa

In Mathematical Physics

1. Bert van Geemen
2. A. Sarti
3. Charles F. Doran
4. Adrian Clingher
5. Giovanni Mongardi

Citations in the corpus

• Nikulin involutions on K3 surfaces (2006, background): “See [GL, Appendix], [P] and [ Deg ] for more on double covers of P2 along singular sextics.”