Wild coverings of Berkovich curves
Michael Temkin
TL;DR
This paper reviews recent advances in understanding wild coverings of Berkovich curves, focusing on their structure and connection to ramification theory in non-Archimedean geometry.
Contribution
It provides an overview of new results linking wild coverings of Berkovich curves to ramification theory and the different, enhancing the understanding of their structure.
Findings
Recent structural results on wild coverings
Connections to higher ramification theory
Insights into the different in Berkovich curves
Abstract
This paper is an extended version of the author's talk given at the conference "Non-Archimedean analytic geometry: theory and practice" held in August 2015 at Papeete. It gives a brief overview of recent results on the structure of wild coverings of Berkovich curves and its relation to the different and higher ramification theory.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Geometric and Algebraic Topology