Kangaroo points and oblique polynomials in resolution of positive characteristic

Details Kangaroo points and oblique polynomials in resolution of positive characteristic Kangaroo points and oblique polynomials in resolution of positive characteristic

2008-11-25

arxiv.org/abs/0811.4151v2

Mathematics

Algebraic Geometry

19 pages, 1 figure

Scientific paper

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.

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