Thomae's Derivative Formulae for Trigonal Curves

Abstract

In this paper we prove a Thomae derivative formula for trigonal curves admitting a non-singular affine model. This formula relates the derivatives of theta functions with rational characteristics on the curve to explicit expressions in the branching values.

arXiv comment21 pages, mainly added two references and Remark 3.4

References in corpus (5)

• Thomae type formulae for singular Z_N curves
• Some addition formulae for Abelian functions for elliptic and hyperelliptic curves of cyclotomic type
• Thomae formula for Abelian covers of ${\mathbb{CP}}^1$
• On Spaces Associated with Invariant Divisors on Galois Covers of Riemann Surfaces and Their Applications
• Thomae Formulae for General Fully Ramified $Z_n$ Curves

Cited by in corpus (2)

• From hyperelliptic to superelliptic curves
• Partial-Wave Analysis of $\gamma p\to K^{+}\Lambda$ using a multichannel framework