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arXiv · 0806.1033

Frobenius Amplitude, Ultraproducts, and Vanishing on Singular Spaces

Donu Arapura
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Abstract

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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Donu Arapura. 2008-06-05. Frobenius Amplitude, Ultraproducts, and Vanishing on Singular Spaces. https://arxiv.org/abs/0806.1033

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