Abelian functions for trigonal curves of degree four and determinantal formulae in purely trigonal case

Yoshihiro Ônishi

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arXiv · math/0503696

Abelian functions for trigonal curves of degree four and determinantal formulae in purely trigonal case

Yoshihiro Ônishi

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Abstract

This paper gives a natural extension of Frobenius-Stickelberger formula and Kiepert formula to Abelian functions for "Purely Trigonal Curves", especially, of degree four. A description on the theory of Abelian functions for general trigonal curves of degree four is also included.

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Yoshihiro Ônishi. 2006-05-01. Abelian functions for trigonal curves of degree four and determinantal formulae in purely trigonal case. https://arxiv.org/abs/math/0503696

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