Oka and Alexander polynomials of symplectic curves and divisibility relations
Geometric Topology
2026-01-26 v2 Algebraic Geometry
Symplectic Geometry
Abstract
We prove Libgober's divisibility relations for Oka and Alexander polynomials of symplectic curves in the complex projective plane. Along the way, we give new proofs of the divisibility relations for the Alexander polynomials of complex algebraic curves with respect to a generic line at infinity.
Keywords
Cite
@article{arxiv.2412.15792,
title = {Oka and Alexander polynomials of symplectic curves and divisibility relations},
author = {Hanine Awada and Marco Golla},
journal= {arXiv preprint arXiv:2412.15792},
year = {2026}
}
Comments
32 pages, 6 figures. Comments are welcome! Update: now with Oka polynomials