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May 20, 2023 at 16:40 comment added Alexander But @DavidHansen is correct that the given definition is too specific: perverse coherent sheaves can be defined in many situations other than crepant resolutions of projective threefolds...
Nov 28, 2012 at 20:50 comment added David Hansen Dear Matthew: Oops, I didn't realize these were distinct concepts! Thanks for the correction. Best, Dave --- Pooya: Sorry for the tone of my comment. :)
Nov 27, 2012 at 16:55 comment added Emerton Dear David, The OP is asking about perverse coherent sheaves, not usual perverse sheaves. Incdidentally, I think there is good geometric intuition for usual perverse sheaves (though I am not the right one to convey it). Regards, Matthew
Nov 27, 2012 at 7:36 answer added 36min timeline score: 2
Nov 26, 2012 at 23:36 comment added David Hansen Your definition is far too specific. I don't think there's a really good geometric intuition. They're the natural objects to look at on singular spaces which imitate good "cohomological properties" of smooth spaces (e.g. duality theorems, purity of etale cohomology, etc.).
Nov 26, 2012 at 22:56 history asked Pooya CC BY-SA 3.0