An algebraic proof of Iitaka‚s conjecture C2, 1
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We give a proof of Iitaka‚s conjecture C2, 1 using only elementary methods from algebraic geometry. The main point we show is that, given a non-isotrivial and relatively minimal model of a family \( f : X \rightarrow B \), where X is a surface and B is a curve, both smooth and projective, the direct image of the relatively canonical sheaf of differentials has strictly positive degree.
KeywordsAlgebraic Geometry Minimal Model Direct Image Canonical Sheaf Positive Degree
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