Let $f:X\to S$ be a projective flat morphism with connected and reduced geometric fibers. Why do one have that $O_S\to f_* O_X$ is an isomorphism?
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$\begingroup$ There are a few potentially helpful comments at mathoverflow.net/questions/26269 $\endgroup$– Charles StaatsSep 5, 2010 at 0:49
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$\begingroup$ See the answers to part (3) of this question: mathoverflow.net/questions/16845/… $\endgroup$– EmertonSep 5, 2010 at 0:50
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