Exact functors on perverse coherent sheaves
نویسندگان
چکیده
منابع مشابه
Perverse Coherent Sheaves on the Nilpotent Cone in Good Characteristic
In characteristic zero, Bezrukavnikov has shown that the category of perverse coherent sheaves on the nilpotent cone of a simply connected semisimple algebraic group is quasi-hereditary, and that it is derived-equivalent to the category of (ordinary) coherent sheaves. We prove that graded versions of these results also hold in good positive characteristic.
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The goal of this note is to prove that the category of perverse sheaves constructible with respect to a triangulation is Koszul (i.e. equivalent to the category of finite-dimensional representations of a Koszul algebra). This result was conjectured by M. Vybornov in the framework of the general theory of cellular perverse sheaves due to R. MacPherson [4], [5]. Acknowledgments. I am grateful to ...
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2015
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x15007265