تقرير
Cohomological invariants and Brauer groups of algebraic stacks in positive characteristic
العنوان: | Cohomological invariants and Brauer groups of algebraic stacks in positive characteristic |
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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 |
الوصف غير متاح. |