Kangaroo points and oblique polynomials in resolution of positive characteristic

2008/11/25 by H. Hauser, Hauser, Herwig
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic and Geometric Analysis #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.0811.4151

openalex publication_date 2008/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Updated version. Includes comments on the advances in the field from the Kyoto workshop on Resolution of Singularities in Positive Characteristic, December 2008. The article surveys the theory of kangaroo points as they appear in the resolution of singularities in positive characteristic. They represent one of the main obstructions for transcribing the characteristic zero proof of resolution to positive characteristic. Kangaroo points are classified through the concept of oblique polynomials. The results of the article are used in Hironaka's recent program towards the resolution of singularities in positive characteristic.

Citations

• Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I

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