Oka and Alexander polynomials of symplectic curves and divisibility relations
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917218341617664 |
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| author | Awada, Hanine Golla, Marco |
| author_facet | Awada, Hanine Golla, Marco |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15792 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Oka and Alexander polynomials of symplectic curves and divisibility relations Awada, Hanine Golla, Marco Geometric Topology Algebraic Geometry Symplectic Geometry 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. |
| title | Oka and Alexander polynomials of symplectic curves and divisibility relations |
| topic | Geometric Topology Algebraic Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2412.15792 |