English

Symplectic isotopy of rational cuspidal sextics and septics

Geometric Topology 2020-09-22 v2 Algebraic Geometry Symplectic Geometry

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.

Keywords

Cite

@article{arxiv.2008.10923,
  title  = {Symplectic isotopy of rational cuspidal sextics and septics},
  author = {Marco Golla and Fabien Kütle},
  journal= {arXiv preprint arXiv:2008.10923},
  year   = {2020}
}

Comments

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