Christian Schnell - On a theorem of Campana and Păun

epiga:3281 - Épijournal de Géométrie Algébrique, September 1, 2017, Volume 1 - https://doi.org/10.46298/epiga.2017.volume1.3281
On a theorem of Campana and PăunArticle

Authors: Christian Schnell

    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.


    Volume: Volume 1
    Published on: September 1, 2017
    Accepted on: July 24, 2017
    Submitted on: August 22, 2017
    Keywords: Mathematics - Algebraic Geometry
    Funding:
      Source : OpenAIRE Graph
    • CAREER: Hodge Theory and D-Modules in Algebraic Geometry; Funder: National Science Foundation; Code: 1551677

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