Nagoya Mathematical Journal
- Nagoya Math. J.
- Volume 204 (2011), 125-157.
Ordinary varieties and the comparison between multiplier ideals and test ideals
We consider the following conjecture: if is a smooth and irreducible -dimensional projective variety over a field of characteristic zero, then there is a dense set of reductions to positive characteristic such that the action of the Frobenius morphism on 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.
Nagoya Math. J., Volume 204 (2011), 125-157.
First available in Project Euclid: 5 December 2011
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 13A35: Characteristic p methods (Frobenius endomorphism) and reduction to characteristic p; tight closure [See also 13B22]
Secondary: 14F18: Multiplier ideals 14F30: $p$-adic cohomology, crystalline cohomology
Mustaţă, Mircea; Srinivas, Vasudevan. Ordinary varieties and the comparison between multiplier ideals and test ideals. Nagoya Math. J. 204 (2011), 125--157. doi:10.1215/00277630-1431849. https://projecteuclid.org/euclid.nmj/1323107839