Progress in Galois Theory
Publication year: 2005
ISBN: 978-0-387-23534-9
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A recent trend in the field of Galois theory is to tie the previous theory of curve coverings (mostly of the Riemann sphere) and Hurwitz spaces (moduli spaces for such covers) with the theory of algebraic curves and their moduli spaces. A general survey of this is given in the article by Voelklein. Further exemplifications come in the articles of Guralnick on automorphisms of modular curves in positive characteristic, of Zarhin on the Galois module structure of the 2-division points of hyperelliptic curves and of Krishnamoorthy, Shashka and Voelklein on invariants of genus 2 curves.
Subject: Mathematics and Statistics, Arithmetic, Galois theory, Grothendieck topology, Group theory, Invariant, Modular curve, Morphism, algebra, algebraic geometry, geometry
