Frobenius Amplitude, Ultraproducts, and Vanishing on Singular Spaces
Algebraic Geometry
2011-10-12 v3 Logic
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.
Keywords
Cite
@article{arxiv.0806.1033,
title = {Frobenius Amplitude, Ultraproducts, and Vanishing on Singular Spaces},
author = {Donu Arapura},
journal= {arXiv preprint arXiv:0806.1033},
year = {2011}
}
Comments
Final revision. To appear Illinois J. Math