TL;DR
This paper investigates the Alexander modules and polynomials of generalized trigonal curves, providing a complete classification over the rationals and partial results over finite fields of positive characteristic.
Contribution
It offers a comprehensive description of Alexander modules for trigonal curves over ield and rational numbers, advancing understanding in algebraic geometry and knot theory.
Findings
Complete classification over ield
Partial results for characteristic p>0
New insights into Alexander invariants of trigonal curves
Abstract
We describe the Alexander modules and Alexander polynomials (both over and over finite fields ) of generalized trigonal curves. The rational case is closed completely; in the case of characteristic , a few points remain open.
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