2002/09/18 by Darren Glass, Glass, Darren
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Number Theory (math.NT) #math.AG #math.NT
paper · pdf · doi:10.48550/arxiv.math/0209228
20 pages
arxiv created 2002/09/18 · openalex publication_date 2002/09/18 · arxiv updated 2009/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
In this paper we suppose G is a finite group acting tamely on a regular projective curve X over Z and V is an orthogonal representation of G of dimension 0 and trivial determinant. Our main result determines the sign of the ε-constant ε(X/G,V) in terms of data associated to the archimedean place and to the crossing points of irreducible components of finite fibers of X, subject to certain standard hypotheses about these fibers.