کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8904650 1633753 2018 101 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Local duality in algebra and topology
ترجمه فارسی عنوان
دوگانگی محلی در جبر و توپولوژی
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
چکیده انگلیسی
As a second objective, we establish local duality for quasi-coherent sheaves over many algebraic stacks, in particular those arising naturally in stable homotopy theory. After constructing an appropriate model of the derived category in terms of comodules over a Hopf algebroid, we show that, in familiar cases, the resulting local cohomology and local homology theories coincide with functors previously studied by Hovey and Strickland. Furthermore, our framework applies to global and local stable homotopy theory, in a way which is compatible with the algebraic avatars of these theories. In order to aid computability, we provide spectral sequences relating the algebraic and topological local duality contexts.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 335, 7 September 2018, Pages 563-663
نویسندگان
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