An Example of Wild Ramification in an Enriched Riemann-Hurwitz Formula
Algebraic Geometry
2020-04-01 v2
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.
Keywords
Cite
@article{arxiv.1812.03386,
title = {An Example of Wild Ramification in an Enriched Riemann-Hurwitz Formula},
author = {Candace Bethea and Jesse Leo Kass and Kirsten Wickelgren},
journal= {arXiv preprint arXiv:1812.03386},
year = {2020}
}