Alternative Invariants for the Embedded Resolution of Purely Inseparable Surface Singularities
نویسنده
چکیده
We propose two local invariants for the inductive proof of the embedded resolution of purely inseparable surface singularities of order equal to the characteristic. The invariants are built on an detailed analysis of the so called kangaroo phenomenon in positive characteristic. They thus measure accurately the algebraic complexity of an equation defining a surface singularity in characteristic p. As the invariants are shown to drop after each blowup, induction applies. CONTENTS
منابع مشابه
Two New Invariants for the Embedded Resolution of Surface Singularities in Positive Characteristic
We propose alternative invariants for the inductive proof of the resolution of surfaces in positive characteristic by a sequence of blowups. The invariants are more systematic than the existing ones, and yield a quite transparent reasoning. This may facilitate the study of the still unsolved case of the embedded resolution of threefolds in positive characteristic. CONTENTS
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