Lipman’s Proof of Resolution of Singularities for Surfaces

M. Artin

Chapter Chapter XI in Arithmetic Geometry, 1986, pp 267-287 from Springer

Abstract: Abstract This is an exposition of Lipman’s beautiful proof [9] of resolution of singularities for two-dimensional schemes. His proof is very conceptual, and therefore works for arbitrary excellent schemes, for instance arithmetic surfaces, with relatively little extra work. (See [4, Chap. IV] for the definition of excellent scheme.)

Keywords: Singular Point; Exact Sequence; Local Ring; Maximal Ideal; Rational Singularity (search for similar items in EconPapers)
Date: 1986
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DOI: 10.1007/978-1-4613-8655-1_11

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