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Exact functors on perverse coherent sheaves. (English) Zbl 1357.14023

Perverse sheaves on a Kähler manifold may be characterised in terms of their local cohomology on Lagrangian submanifolds. This paper proves a parallel characterisation for perverse coherent sheaves on a variety, in terms of their local cohomology on certain ‘measuring’ subvarieties. The author provides an appendix, describing the analogue of his characterisation in the constructible setting.

MSC:

14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
18E30 Derived categories, triangulated categories (MSC2010)
14B15 Local cohomology and algebraic geometry
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[1] doi:10.1007/s002229900043 · Zbl 0958.14001
[8] doi:10.4007/annals.2007.166.95 · Zbl 1138.22013
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