Timeline for Geometric intuition behind perverse coherent sheaves?
Current License: CC BY-SA 3.0
6 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
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 |