Cohomological invariants and Brauer groups of algebraic stacks in positive characteristic

2022/07/18 by Andrea Di Lorenzo, Di Lorenzo, Andrea, Roberto Pirisi +1 · 1 citation
Arts and Humanities · Mathematics · #14D23 #14F22 #14F43 #14H10 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #North African History and Literature

paper · pdf · doi:10.48550/arxiv.2207.08792

openalex publication_date 2022/07/18 · openalex created_date 2022/07/21 · openalex updated_date 2026/07/28

Abstract

We introduce a theory of cohomological invariants with mod p^r coefficients for algebraic stacks in characteristic p. Using these new tools we complete the computation of the Brauer group and cohomological invariants of the stack of elliptic curves over any field.

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