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The cohomology solution and the index theorem on ring surfaces of genus g
La solución cohomológica y el teorema del índice para superficies sobre anillos de género g
Schlagworte:
Ring surface, Cohomology, Genus, Index, 2000 Mathematics Subject Classification. 53C21, 53C42 (en)Superficie sobre anillos, Cohomología, Género, Índice (es)
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Abstract. 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 ∂¯ = ∂/∂z¯ are obtained. The index theorem on such ring surfaces of genus g is also discussed.
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 ∂¯ = ∂/∂z¯. Se discute el teorema del índice para tales superficies.
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