Jacobi's Inversion Problem for Genus Two Hyperelliptic Integral II
Kazuyasu Shigemoto
TL;DR
This paper reviews G"{o}pel's approach to Jacobi's inversion problem for genus two hyperelliptic integrals, building on prior work that analyzed Rosenhain's contributions, to deepen understanding of the mathematical structure involved.
Contribution
It provides a detailed review of G"{o}pel's method for solving the Jacobi inversion problem in the genus two hyperelliptic case, complementing previous review of Rosenhain's work.
Findings
Clarifies G"{o}pel's approach to the inversion problem.
Highlights differences between Rosenhain's and G"{o}pel's methods.
Enhances understanding of hyperelliptic integrals in genus two.
Abstract
In the previous paper, we reviewed the Rosenhain's paper to the Jacobi's inversion problem for the genus two hyperelliptic integral. In this paper, we review the G\"{o}pel's paper to the Jacobi's inversion problem for the genus two hyperelliptic integral.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Nonlinear Waves and Solitons · Crystal structures of chemical compounds