WebThe purpose of this article is to set foundations for decomposition numbers of perverse sheaves, to give some methods to calculate them in simple cases, and to compute them … WebLet U denote the open stratum. Consider the exact sequence of local systems. 0 → Z 2 → Z 2 → F 2 → 0. on U. Shifting by [ 2] we get an exact sequence of perverse sheaves on U and if we apply j! ∗ we get a sequence. 0 → I C ( X, Z 2) → 2 I C ( X, Z 2) → I C ( X, F 2) → 0. (Here one needs to be careful: because Z 2 is not a ...
(PDF) Decomposition numbers for perverse sheaves - ResearchGate
WebPerverse sheaves (Math 731) Time and location: 11:30am - 1:00pm in 2866 East Hall, every Tuesday and Thursday . ... De Cataldo and Migliorini's survey paper on perverse sheaves and the decomposition theorem; Klingler's course notes on intersection cohomology and perverse sheaves ; WebVolume 46, Number 4, October 2009, Pages 535–633 S 0273-0979(09)01260-9 Article electronically published on June 26, 2009 THE DECOMPOSITION THEOREM, ... THE DECOMPOSITION THEOREM AND PERVERSE SHEAVES 541 Theorem 1.4.1 (Decomposition theorem for intersection cohomology: () ... green and white box contacts
Perverse sheaf - Wikipedia
WebAmerican Mathematical Society :: Homepage WebThis occurs when one takes perverse sheaves with coefficients in positive characteristic (or even Z). Daniel Juteau, Carl Mautner and I have written a survey called "Perverse sheaves and modular representation theory" which contains lots of examples of the failure of the decomposition theorem. (Note that all of 1), 2) and 3) above can fail!) Web3.Perverse sheaves de nition, some properties 4.Statement of decomposition theorem \yoga of weights" 5. Application 1: Beilinson, et al., \there are enough perverse sheaves", they generate the derived category of constructible sheaves 6.Application 2: Radon transforms. Use to understand monodromy of hyperplane sections. flower salad plates