Frobenius Amplitude, Ultraproducts, and Vanishing on Singular Spaces

Details Frobenius Amplitude, Ultraproducts, and Vanishing on Singular Spaces Frobenius Amplitude, Ultraproducts, and Vanishing on Singular Spaces

2008-06-05

arxiv.org/abs/0806.1033v3

Mathematics

Algebraic Geometry

Final revision. To appear Illinois J. Math

Scientific paper

When X is a singular complex projective variety, we prove a Kodaira type
vanishing theorem generalizing results of Navarro Aznar and others. This is
proved by extending the Deligne-Illusie decomposition to the Du Bois complex.
We also give a new definition of Frobenius amplitude (introduced in
math.AG/0202129) using ultraproducts.

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