Polynomial Dynamical Systems and Differentiation of Genus 4 Hyperelliptic Functions

TL;DR

This paper provides an explicit solution for differentiating genus 4 hyperelliptic functions, detailing the associated polynomial Lie algebras and dynamical systems, advancing understanding of complex algebraic structures.

Contribution

It introduces explicit polynomial Lie algebras and dynamical systems for genus 4 hyperelliptic functions differentiation, a novel development in the field.

Findings

Explicit solution for genus 4 hyperelliptic functions differentiation

Description of polynomial Lie algebras related to the problem

Development of polynomial dynamical systems for hyperelliptic functions

Abstract

We give an explicit solution to the problem of differentiation of hyperelliptic functions in genus 4 case. We describe explicitly the polynomial Lie algebras and polynomial dynamical systems connected to this problem.