Open Access
October 2009 On injectivity, vanishing and torsion-free theorems for algebraic varieties
Osamu Fujino
Proc. Japan Acad. Ser. A Math. Sci. 85(8): 95-100 (October 2009). DOI: 10.3792/pjaa.85.95

Abstract

We give a short and almost self-contained proof of generalizations of Kollár’s vanishing and torsion-free theorems. Although they are contained in Ambro's much more general results on embedded normal crossing pairs, we give an alternate and direct reduction argument to the mixed Hodge theory. In this sense, this paper gives a more readable account of the application to the log minimal model program for log canonical pairs.

Citation

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Osamu Fujino. "On injectivity, vanishing and torsion-free theorems for algebraic varieties." Proc. Japan Acad. Ser. A Math. Sci. 85 (8) 95 - 100, October 2009. https://doi.org/10.3792/pjaa.85.95

Information

Published: October 2009
First available in Project Euclid: 2 October 2009

zbMATH: 1189.14024
MathSciNet: MR2561896
Digital Object Identifier: 10.3792/pjaa.85.95

Subjects:
Primary: 14F17 , 32L20
Secondary: 14E30

Keywords: Hodge theory , injectivity theorem , torsion-freeness , vanishing theorem

Rights: Copyright © 2009 The Japan Academy

Vol.85 • No. 8 • October 2009
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