Idealistic exponents: Tangent cone, ridge, characteristic polyhedra

Schober, Bernd (2021) Idealistic exponents: Tangent cone, ridge, characteristic polyhedra. JOURNAL OF ALGEBRA, 565. pp. 353-401. ISSN 0021-8693, 1090-266X

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Abstract

We study Hironaka's idealistic exponents over Spec (Z). We give an idealistic interpretation of the tangent cone, the directrix, and the ridge. The main purpose is to introduce the notion of characteristic polyhedra of idealistic exponents and deduce from them intrinsic data on the idealistic exponent. (C) 2020 Elsevier Inc. All rights reserved.

Item Type: Article
Uncontrolled Keywords: MAXIMAL CONTACT; SINGULARITIES; RESOLUTION; DESINGULARIZATION; INVARIANTS; Singularities; Idealistic exponents; Characteristic polyhedra; Newton polyhedra; Resolution of singularities
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 17 Aug 2022 12:07
Last Modified: 17 Aug 2022 12:07
URI: https://pred.uni-regensburg.de/id/eprint/46648

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