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Étoiles and valuations

Name: Étoiles and valuations
Creator: Steven Dale Cutkosky
Keywords: Mathematics - Algebraic Geometry, Mathematics - Complex Variables, 14D05, 14E05, 32C15, 0103 physical sciences, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, Algebraic Geometry (math.AG), 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Mar 2017Embargo end date: 01 Jan 2012Publisher:Elsevier BVJournal:Journal of Pure and Applied Algebra, volume 221, pages 588-610 (issn: 0022-4049,

Authors: Steven Dale Cutkosky;

doi: 10.1016/j.jpaa.2016.07.007 , 10.48550/arxiv.1206.4255

arXiv: http://arxiv.org/abs/1206.4255

Étoiles and valuations

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Abstract

We establish some properties of ��toiles and associated valuations over complex analytic spaces, showing that Abhyankar's inequality holds. We give some examples of pathological behavior of these valuations. We prove a regularization theorem for complex analytic morphisms.

24 pages

Related Organizations

University of Missouri
United States

Keywords

Mathematics - Algebraic Geometry, Mathematics - Complex Variables, 14D05, 14E05, 32C15, FOS: Mathematics, Complex Variables (math.CV), Algebraic Geometry (math.AG)

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