paper

Symplectic isotopy of rational cuspidal sextics and septics

arXiv:2008.10923

Abstract

We classify rational cuspidal curves of degrees 6 and 7 in the complex projective plane, up to symplectic isotopy. The proof uses topological tools, pseudoholomorphic techniques, and birational transformations.

49 pages, many figures. We have upgraded Theorem 4.7. Comments are welcome