Hostname: page-component-7c8c6479df-24hb2 Total loading time: 0 Render date: 2024-03-28T17:03:52.250Z Has data issue: false hasContentIssue false

Logarithmic Vanishing Theorems and Arakelov–Parshin Boundedness for Singular Varieties

Published online by Cambridge University Press:  04 December 2007

Sándor J. Kovács
Affiliation:
Department of Mathematics, University of Washington, Box 354350, Seattle, WA 98103, U.S.A. E-mail: kovacs@math.washington.edu
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

This article can be divided into two loosely connected parts. The first part is devoted to proving a singular version of the logarithmic Kodaira–Akizuki–Nakano vanishing theorem of Esnault and Viehweg in the style of Navarro-Aznar et al. This in turn is 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.

Type
Research Article
Copyright
© 2002 Kluwer Academic Publishers