ON A FIBER SPACE WITH CONNECTED FIBERS

Abstract

Let f: S$\rightarrow$ C be a fiber space with connected fibers. We may have an information about a surface S from the fiber space structure. The result we have is ${\chi}({\mathcal O}_C){\chi}({\mathcal O}_F){\leq}{\chi}({\mathcal O}_S)$.

Keywords

• Euler characteristic;
• fiber space;
• genus

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