Oka and Alexander polynomials of symplectic curves and divisibility relations

Hanine Awada; Marco Golla

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arXiv · 2412.15792

Oka and Alexander polynomials of symplectic curves and divisibility relations

Hanine Awada·Marco Golla

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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.

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Hanine Awada, Marco Golla. 2024-12-20. Oka and Alexander polynomials of symplectic curves and divisibility relations. https://arxiv.org/abs/2412.15792

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