2014/05/23 by Quan Xu, Xu, Quan
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG
paper · pdf · doi:10.48550/arxiv.1405.6063
arXiv admin note: text overlap with arXiv:0812.0254 by other authors
arxiv created 2014/05/23 · openalex publication_date 2014/05/23 · arxiv updated 2014/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note, we give a proof for a variant of the functorial Deligne-Riemann-Roch theorem in positive characteristic based on ideas appearing in Pink and Rössler's proof of the Adams-Riemann-Roch theorem in positive characteristic (see \citePi). The method of their proof appearing in \citePi, which is valid for any positive characteristic and which is completely different from the classical proof, will allow us to prove the functorial Deligne-Riemann-Roch theorem in a much easier and more direct way. Our proof is also partially compatible with Mumford's isomorphism.