Eine algebraische Untersuchung über Thetafunctionen von drei Argumenten.
Equations de variétés de Kummer.
Etale coverings of a Mumford curve
Let the field be complete w.r.t. a non-archimedean valuation. Let be a Mumford curve, i.e. the irreducible components of the stable reduction of have genus 0. The abelian etale coverings of are constructed using the analytic uniformization and the theta-functions on . For a local field one rediscovers . Frey’s description of the maximal abelian unramified extension of the field of rational functions of .
Étude sur les relations algébriques entre les fonctions hyperelliptiques de genre 3
Explicit p-adic theta function.