Singularities in Positive Characteristic: Equisingularity, Classification, Determinacy

Gert-Martin Greuel ()
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Gert-Martin Greuel: Universität Kaiserslautern, Fachbereich Mathematik

A chapter in Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics, 2018, pp 37-53 from Springer

Abstract: Abstract In this survey paper we give an overview on some aspects of singularities of algebraic varieties over an algebraically closed field of arbitrary characteristic. We review in particular results on equisingularity of plane curve singularities, classification of hypersurface singularities and determinacy of arbitrary singularities. The section on equisingularity has its roots in two important early papers by Antonio Campillo. One emphasis is on the differences between positive and zero characteristic and on open problems.

Keywords: 32S05; 32S15; 14B05; 14B07; 14H20 (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-96827-8_2

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DOI: 10.1007/978-3-319-96827-8_2

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