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Elimination with applications to singularities in positive characteristic

2007/12/21 by Orlando E. Villamayor, Villamayor, Orlando
Computer Science · Mathematics · #14E15 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Polynomial and algebraic computation #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.0712.3733

openalex publication_date 2007/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an application of elimination theory to the study of singularities over arbitrary fields, particularly to the open problem of resolution. A partial extension of a function, defining resolution of singularities over fields of characteristic zero, is discussed here in positive characteristic.

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