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Timeline for Sheaves with no cohomology

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Feb 18, 2014 at 15:41 comment added Carl @JimHumphreys: Thanks a lot for the nice references.
Feb 18, 2014 at 13:55 history edited David Benjamin Lim CC BY-SA 3.0
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Feb 18, 2014 at 12:30 comment added Jim Humphreys For the transition to algebraic geometry (in characteristic 0), see Demazure: gdz.sub.uni-goettingen.de/dms/load/img/?PPN=GDZPPN002092379
Feb 18, 2014 at 9:28 comment added Tobias Kildetoft This example also carries over to algebraic groups (in any characteristic). A typical example of such a $\lambda$ is when there is a simple root $\alpha$ with $\langle\lambda,\alpha^{\vee}\rangle = -1$ (this is one of the reasons the "dot" action shows up so often, as that translates to having $-\rho$ as the new "$0$", and $-\rho$ behaves like a $0$ should when we look at the cohomology).
Feb 17, 2014 at 15:19 history answered David Benjamin Lim CC BY-SA 3.0