Abstract

XUE, CHANGFENG  and  TAN, WENCHANG. The cohomology solution and the index theorem on ring surfaces of genus g. Rev.colomb.mat. [online]. 2007, vol.41, n.2, pp. 371-380. ISSN 0034-7426.

In this paper, some basic properties of the cohomology solution on ring surfaces of genus g are presented, and the theorem of Dolbeault and the theorem of Serre for the operator are obtained. The index theorem on such ring surfaces of genus g is also discussed.

Keywords : Ring surface; cohomology; genus; index.