Differentiation of Genus $4$ Hyperelliptic Functions
Abstract
In this work we give an explicit solution to the problem of differentiation of hyperelliptic functions in genus case. It is a genus analogue of the classical result of F. G. Frobenius and L. Stickelberger [F. G. Frobenius, L. Stickelberger, "Uber die Differentiation der elliptischen Functionen nach den Perioden und Invarianten", J. Reine Angew. Math., 92 (1882), 311-337] in the case of elliptic functions. An explicit solution in the genus case was given in [V. M. Buchstaber, "Polynomial dynamical systems and Korteweg-de Vries equation", Proc. Steklov Inst. Math., 294 (2016), 176-200]. An explicit solution in the genus case was given in [E. Yu. Bunkova, "Differentiation of genus 3 hyperelliptic functions", European Journal of Mathematics, 4:1 (2018), 93-112].
Keywords
Cite
@article{arxiv.1912.11379,
title = {Differentiation of Genus $4$ Hyperelliptic Functions},
author = {V. M. Buchstaber and E. Yu. Bunkova},
journal= {arXiv preprint arXiv:1912.11379},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1911.08266