2019/11/10 by Andrea Di Lorenzo, Di Lorenzo, Andrea, Roberto Pirisi +1
Mathematics · #14D23 #14F43 #14H10 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1911.04005
openalex publication_date 2019/11/10 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
When the genus g is even, we extend the computation of mod 2 cohomological invariants of Hg to non algebraically closed fields, we give an explicit functorial description of the invariants and we completely describe their multiplicative structure. In the Appendix, we show that the cohomological invariants of the compactification Hg are trivial, and use our methods to give a very short proof of a result by Cornalba on the Picard group of the compactification Hg and extend it to positive characteristic