Viehweg's hyperbolicity conjecture is true over compact bases

Details Viehweg's hyperbolicity conjecture is true over compact bases Viehweg's hyperbolicity conjecture is true over compact bases

2011-09-13

arxiv.org/abs/1109.2835v1

Mathematics

Algebraic Geometry

3 pages, comments are warmly welcomed

Scientific paper

We prove Viehweg's hyperbolicity conjecture over compact bases and over bases
with non-uniruled compactification. The most general case of the conjecture
states that the the base space of a maximal variation family of smooth
projective manifolds with semi-ample canonical sheaf is of log-general type.

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