469 research outputs found
Weak positivity via mixed Hodge modules
We prove that the lowest nonzero piece in the Hodge filtration of a mixed
Hodge module is always weakly positive in the sense of Viehweg.Comment: 9 page
On a theorem of Campana and P\u{a}un
Let be a smooth projective variety over the complex numbers, and a reduced divisor with normal crossings. We present a slightly
simplified proof for the following theorem of Campana and P\u{a}un: If some
tensor power of the bundle contains a subsheaf with
big determinant, then is of log general type. This result is a
key step in the recent proof of Viehweg's hyperbolicity conjecture.Comment: 9 pages. Formatted using epigamath.st
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