An Example of Wild Ramification in an Enriched Riemann-Hurwitz Formula

2018/12/08 by Candace Bethea, Bethea, Candace, Jesse Leo Kass +3
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1812.03386

Abstract

M. Levine proved an enrichment of the classical Riemann-Hurwitz formula to an equality in the Grothendieck-Witt group of quadratic forms. In its strongest form, Levine's theorem includes a technical hypothesis on ramification relevant in positive characteristic. We consider wild ramification at points whose residue fields are non-separable extensions of the ground field k. We show an analogous Riemann-Hurwitz formula, and consider an example suggested by S. Saito.

Citations

• Ramification of local fields with imperfect residue fields III

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