Talk:Riemann-Roch theorem

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 Definition:  Theorem that relates the complex analysis of a connected compact Riemann surface with the surface's purely topological genus g, in a way that can be carried over into purely algebraic settings. [d] [e]
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Elermentary statement?

I first encountered the Riemman-Roch theorem in Fulton ("Algebraic Curves") where it was stated in the form l(D) − l(K − D) = deg(D) − g + 1 (actually, I think W was used for the canonical divisor there), and only later became aware of the cohomological intepreation and proof. Perhaps the article could benefit from a more elementary statement at the outset, followed by the more modern interpretation and treatment. Greg Woodhouse 18:14, 12 April 2007 (CDT)

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