An algebraic proof of Iitaka's Conjecture C_{2,1}
Algebraic Geometry
2007-05-23 v1
Abstract
We give a proof of Iitaka's Conjecture C_{2,1} using only elementary methods from algebraic geometry. The main point is that, given a non-isotrivial and relatively minimal family f : X \to B, where X is a surface and B is a curve, both smooth and projective, we show that the direct image of the relatively canonical sheaf has strictly positive degree.
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Cite
@article{arxiv.math/0103225,
title = {An algebraic proof of Iitaka's Conjecture C_{2,1}},
author = {Markus Wessler},
journal= {arXiv preprint arXiv:math/0103225},
year = {2007}
}
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7 pages