Complete ideals defined by sign conditions and the real spectrum of a two-dimensional local ring

1993/12/03 by Dean Alvis, Alvis, Dean, Bernard Johnston +4
Computer Science · Mathematics · #Commutative Algebra and Its Applications #Polynomial and algebraic computation #Rings, Modules, and Algebras #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9312002

12 pages, TeX version 3.1

arxiv created 1993/12/03 · arxiv updated 2009/11/30

Abstract

This paper is about the local geometry of a real surfaces. It introduces machinery for studying families of subsets which are determined by conditions which are similar to base conditions, but also involve positivity/non-negativity. The methods used are the real spectrum and Zariski's theory of complete ideals.

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