کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6425129 1633786 2016 59 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Higher analytic stacks and GAGA theorems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Higher analytic stacks and GAGA theorems
چکیده انگلیسی

We develop the foundations of higher geometric stacks in complex analytic geometry and in non-archimedean analytic geometry. We study coherent sheaves and prove the analog of Grauert's theorem for derived direct images under proper morphisms. We define analytification functors and prove the analog of Serre's GAGA theorems for higher stacks. We use the language of infinity category to simplify the theory. In particular, it enables us to circumvent the functoriality problem of the lisse-étale sites for sheaves on stacks. Our constructions and theorems cover the classical 1-stacks as a special case.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 302, 22 October 2016, Pages 351-409
نویسندگان
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