Logarithmic Kodaira-Akizuki-Nakano vanishing and Arakelov-Parshin boundedness for singular varieties
Algebraic Geometry
2009-09-25 v4
Abstract
The article has two parts. The first part is devoted to proving a singular version of the logarithmic Kodaira-Akizuki-Nakano vanishing theorem of Esnault and Viehweg. This is then used to prove other vanishing theorems. In the second part these vanishing theorems are used to prove an Arakelov-Parshin type boundedness result for families of canonically polarized varieties with rational Gorenstein singularities.
Keywords
Cite
@article{arxiv.math/0003019,
title = {Logarithmic Kodaira-Akizuki-Nakano vanishing and Arakelov-Parshin boundedness for singular varieties},
author = {Sándor J. Kovács},
journal= {arXiv preprint arXiv:math/0003019},
year = {2009}
}
Comments
23 pages, typos/errors corrected, definition of strong ampleness is made more general more typos/errors corrected, 6.4 made slightly more general