Discreteness and rationality of \(F\)-jumping numbers on singular varieties
type: Item
instance of: scholarly article
title: Discreteness and rationality of \(F\)-jumping numbers on singular varieties
zbMATH Open document ID: 1198.13007
author: Manuel Blickle
author: Karl Schwede
author: Shunsuke Takagi
author: Wenliang Zhang
published in: Mathematische Annalen
publication date: 2010-06-16T00:00:00Z
full work available at URL: https://arxiv.org/abs/0906.4679
review text: In characteristic zero, jumping numbers of the multiplier ideal on a variety are rational and discrete by the definition. In positive characteristic case, the test ideal is an analog of the multiplier ideal but the rationality and discreteness of its jumping numbers (\(F\)-jumping numbers) do not follow immediately from the definition. This paper proves the rationality and discreteness of \(F\)-jumping numbers under some (reasonably weak) conditions.
reviewed by: Shihoko Ishii
Mathematics Subject Classification ID: 13A35
Mathematics Subject Classification ID: 14B05
zbMATH DE Number: 5721506
zbMATH Keywords: Frobenius map
zbMATH Keywords: test ideal
MaRDI profile type: Publication
OpenAlex ID: W3101199965
arXiv ID: 0906.4679
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DOI: 10.1007/S00208-009-0461-2
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description: scientific article