Symplectic isotopy of rational cuspidal sextics and septics

2020/08/25 by Marco Golla, Golla, Marco, Fabien Kütle +1 · 1 citation
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #History and Theory of Mathematics #Polynomial and algebraic computation #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2008.10923

openalex publication_date 2020/08/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Pseudoholomorphic curves and the symplectic isotopy problem
• Holomorphic disks and topological invariants for closed three-manifolds
• Surgeries on torus knots, rational balls, and cabling

Cited by

• Surfaces in 4-manifolds and complex curves

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