A new proof of a Thomae-like formula for non hyperelliptic genus 3 curves

2015/03/03 by Enric Nart, Christophe Ritzenthaler, Nart, Enric +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1503.01012

18 pages

arxiv created 2015/03/03 · arxiv updated 2015/03/04

Abstract

We discuss Weber's formula which gives the quotient of two Thetanullwerte for a plane smooth quartic in terms of the bitangents. In particular, we show how it can easily be derived from the Riemann-Jacobi formula.

Related

• A Thomae-like Formula: Algebraic Computations of Theta Constants
• Rosenhain-Thomae formulae for higher genera hyperelliptic curves
• Weber's formula for the bitangents of a smooth plane quartic
• Thomae's formulae for non-hyperelliptic curves and spinorial square roots of theta-constants on the moduli space of curves
• On the Torelli problem and Jacobian Nullwerte in genus three