Cohomological invariants and Brauer groups of algebraic stacks in positive characteristic

التفاصيل البيبلوغرافية
العنوان: Cohomological invariants and Brauer groups of algebraic stacks in positive characteristic
المؤلفون: Di Lorenzo, Andrea, Pirisi, Roberto
سنة النشر: 2022
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry, 14D23, 14F22, 14H10, 14F43
الوصف: 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.
Comment: 47 pages, comments welcome! v2: we give a more general definition of cohomological invariants. We also made some small corrections throughout the paper. v3: accepted version. We fixeed some notation and added a remark at the end copmputing the pullback when changing base between finite fields of characteristic 2
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2207.08792
رقم الأكسشن: edsarx.2207.08792
قاعدة البيانات: arXiv