2008/10/14 by Tyler J. Jarvis, Jarvis, Tyler J., Takashi Kimura +1
Mathematics · #14H10 #14N35 #53D45 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG #math.AT #math.DG #msc:14H10 #msc:14N35 #msc:53D45
paper · pdf · doi:10.48550/arxiv.0810.2488
Some errors corrected, and additional details provided. Moved several examples and applications to a subsequent paper
openalex publication_date 2008/10/14 · arxiv created 2009/07/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We provide a formula describing the G-module structure of the Hurwitz-Hodge bundle for admissible G-covers in terms of the Hodge bundle of the base curve, and more generally, for describing the G-module structure of the push-forward to the base of any sheaf on a family of admissible G-covers. This formula can be interpreted as a representation-ring-valued relative Riemann-Hurwitz formula for families of admissible G-covers.