(12014) NEW PROOFS OF THE TORELLI THEOREMS FOR RIEMANN SURFACES

来源:数学科学研究中心

Abstract. In this paper, by using the Kuranishi coordinates on the Teichm¨uller space
and the explicit deformation formula of holomorphic one-forms on Riemann surface, we
give an explicit expression of the period map and derive new differential geometric proofs
of the Torelli theorems, both local and global, for Riemann surfaces.

 

  • 1207.5697v1.pdf