Representations of field automorphism groups

2005/07/19 by M. Rovinsky, Rovinsky, M.
Mathematics · #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Representation Theory (math.RT) #math.AG #math.RT

paper · pdf · doi:10.48550/arxiv.math/0507388

18 pages

openalex publication_date 2005/07/19 · arxiv created 2006/05/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a common introduction to math.RT/0101170, math.RT/0306333, math.RT/0506043, math.RT/0601028. Compared to these references there are new results including (i) a description of a separable closure of an extension of transcendence degree one of an algebraically closed field of positive characteristic; (ii) a "Künneth formula" for the products with curves; (iii) the semi-simplicity of the module of regular forms of top degree Ωⁿ_F/k.

Related

• On maximal proper subgroups of field automorphism groups
• Smooth representations and sheaves
• F_p-representations over p-fields
• Computing finite Galois groups arising from automorphic forms
• Reverse Mathematics and Algebraic Field Extensions