Jenkins−Strebel differentials

  • Enrico Arbarello

    Università di Roma La Sapienza, Italy
  • Maurizio Cornalba

    Università di Pavia, Italy


In this mostly expository paper we revisit a fundamental result of Strebel, asserting the existence and uniqueness, on Riemann surfaces of finite type, of Jenkins−Strebel differentials having double poles with prescribed ‘‘residues’’ at prescribed points. In particular, we give a selfcontained and somewhat shortened proof of Strebel’s result.

Cite this article

Enrico Arbarello, Maurizio Cornalba, Jenkins−Strebel differentials. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 21 (2010), no. 2, pp. 115–157

DOI 10.4171/RLM/564