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December 2011 Ordinary varieties and the comparison between multiplier ideals and test ideals
Mircea Mustaţă, Vasudevan Srinivas
Nagoya Math. J. 204: 125-157 (December 2011). DOI: 10.1215/00277630-1431849


We consider the following conjecture: if X is a smooth and irreducible n-dimensional projective variety over a field k of characteristic zero, then there is a dense set of reductions Xs to positive characteristic such that the action of the Frobenius morphism on Hn(Xs,OXs) is bijective. There is another conjecture relating certain invariants of singularities in characteristic zero (the multiplier ideals) with invariants in positive characteristic (the test ideals). We prove that the former conjecture implies the latter one in the case of ambient nonsingular varieties.


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Mircea Mustaţă. Vasudevan Srinivas. "Ordinary varieties and the comparison between multiplier ideals and test ideals." Nagoya Math. J. 204 125 - 157, December 2011.


Published: December 2011
First available in Project Euclid: 5 December 2011

zbMATH: 1239.14011
MathSciNet: MR2863367
Digital Object Identifier: 10.1215/00277630-1431849

Primary: 13A35
Secondary: 14F18, 14F30

Rights: Copyright © 2011 Editorial Board, Nagoya Mathematical Journal


Vol.204 • December 2011
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