Skip to main content
Article thumbnail
Location of Repository

Harmonic Galois theory for finite graphs

By Scott Corry

Abstract

This paper develops a harmonic Galois theory for finite graphs, thereby classifying harmonic branched $G$-covers of a fixed base $X$ in terms of homomorphisms from a suitable fundamental group of $X$ together with $G$-inertia structures on $X$. As applications, we show that finite embedding problems for graphs have proper solutions and prove a Grunwald-Wang type result stating that an arbitrary collection of fibers may be realized by a global cover.Comment: 15 pages; minor expository change

Topics: Mathematics - Combinatorics, Mathematics - Algebraic Geometry, 05C25 (Primary) 14H30, 11R32 (Secondary)
Year: 2012
OAI identifier: oai:arXiv.org:1103.1648
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://arxiv.org/abs/1103.1648 (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.