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arXiv · 1403.6789

Alternative Invariants for the Embedded Resolution of Purely Inseparable Surface Singularities

Herwig Hauser·Dominique Wagner
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Abstract

The article investigates the behaviour of the characteristic zero resolution invariant when transcribed suitably to the case of surfaces in positive characteristic. By Moh's jumping phenomenon -- or the occurrence of kangaroo singularities -- one knows that the invariant may increase, thus destroying any induction. We describe in the paper how one can modify in the purely inseparable surface case the invariant by adding a subtle correction term so as to prohibit its occasional increases and to establish the induction argument again.

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Herwig Hauser, Dominique Wagner. 2014-03-26. Alternative Invariants for the Embedded Resolution of Purely Inseparable Surface Singularities. https://arxiv.org/abs/1403.6789

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