Let $X$ be a smooth projective variety over the complex numbers, and $\Delta \subseteq X$ a reduced divisor with normal crossings. We present a slightly simplified proof for the following theorem of Campana and Păun: If some tensor power of the bundle $\Omega_X^1(\log \Delta)$ contains a subsheaf with big determinant, then $(X, \Delta)$ is of log general type. This result is a key step in the recent proof of Viehweg's hyperbolicity conjecture.

Source : oai:arXiv.org:1704.03034

Volume: Volume 1

Published on: September 1, 2017

Submitted on: August 22, 2017

Keywords: Mathematics - Algebraic Geometry

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