are obtained. The index theorem on such ring surfaces of genus g is also discussed.
are obtained. The index theorem on such ring surfaces of genus g is also discussed.]]>
. Se discute el teorema del índice para tales superficies.]]>
1Yancheng Institute of Technology, Yancheng, China. Peking University, Peking, China. Email: chfxue@gmail.com
2Peking University, Peking, China. Email: tanwch@mech.pku.edu.cn
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.
Key words: Ring surface, cohomology, genus, index.
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 . Se discute el teorema del índice para tales superficies.
Palabras clave: Superficie sobre anillos, cohomología, género, índice.
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References
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(Recibido en julio de 2007. Aceptado en septiembre de 2007)Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{XueTan07,
AUTHOR = {Changfeng Xue and Wenchang Tan},
TITLE = {{The cohomology solution and the index theorem on ring surfaces of genus g}},
JOURNAL = {Revista Colombiana de Matemáticas},
YEAR = {2007},
volume = {41},
number = {2},
pages = {371-380}
}