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math-phFeb 7, 2006
27
citations (OpenAlex)
authors
  • Victor Enolskii
  • Tamara Grava
institutions
  • Institute of Magnetism
  • Scuola Internazionale Superiore di Studi Avanzati
arXiv abstractPDF
paper

Thomae type formulae for singular Z_N curves

arXiv:math-ph/0602017 · doi:10.1007/s11005-006-0073-7

Abstract

We give an elementary and rigorous proof of the Thomae type formula for singular ZN​ curves. To derive the Thomae formula we use the traditional variational method which goes back to Riemann, Thomae and Fuchs.

22 pages

References in corpus (1)

  • Remarks on the complex geometry of the 3-monopole

Cited by in corpus (13)

  • Entanglement entropy of two disjoint intervals in conformal field theory
  • Entanglement entropy of two disjoint intervals in conformal field theory II
  • On Rényi entropies of disjoint intervals in conformal field theory
  • Bose-Fermi duality and entanglement entropies
  • Multi-charged moments of two intervals in conformal field theory
  • Entanglement of two disjoint intervals in conformal field theory and the 2D Coulomb gas on a lattice
  • Thomae formula for Abelian covers of CP1
  • General derivative Thomae formula for singular half-periods
  • Thomae Formulae for General Fully Ramified Zn​ Curves
  • Thomae's Derivative Formulae for Trigonal Curves
  • Free compact boson on branched coverings of the torus
  • The sigma function over a family of cyclic trigonal curves with a singular fiber
  • Theta functions of superelliptic curves
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