Resumen de The cohomology solution and the index theorem on ring surfaces of genus "g"
- español
En este artículo se presentan algunas propiedades básicas de la solución cohomológica para superficies sobre anillos de género "g" y se obtienen los teoremas de Dolbeault y Serre para el operador $\bar\partial = \frac{\partial }{{\partial \bar z}}d\bar z$. Se discute el teorema del índice para tales superficies. \keywords{Superficie sobre anillos, cohomología, género, índice.} \end{secondabstract}
- English
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 $\bar\partial = \frac{\partial }{{\partial \bar z}}d\bar z$ are obtained. The index theorem on such ring surfaces of genus "g" is also discussed.
