2008/06/05 by Arapura, Donu
#Algebraic Geometry (math.AG) #FOS: Mathematics #Logic (math.LO)
paper · doi:10.48550/arxiv.0806.1033
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.