Timeline for Computation of character sheaf
Current License: CC BY-SA 4.0
5 events
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Nov 18, 2019 at 1:09 | comment | added | Ioannis Zolas | Also, even if we use the characteristic function for the finite field case, what do we do in the complex case (this is of greater interest for me right now), where we don't have a Frobenius? Isn't there some way to understand $K_w^{\mathcal{L}}$ straight from the definition? | |
Nov 18, 2019 at 0:29 | comment | added | Ioannis Zolas | They do very much! So please tell me if I am correct but the fact that characters are compatible with Grothendieck's six operations should immediately imply the calculation by the character of the line bundle. But there are many points which are not clear to me for example: In 1.3, how is not $n^*E$ not always a sum of constant sheaves? Could you give me an example? Also, how did we get these characteristic functions in example 1.6? | |
Nov 14, 2019 at 17:05 | comment | added | Geordie Williamson | Do these notes help? people.mpim-bonn.mpg.de/geordie/Ostrik.pdf I think Example 1.6 is pretty close to what you want... | |
Nov 14, 2019 at 16:40 | review | First posts | |||
Nov 14, 2019 at 17:33 | |||||
Nov 14, 2019 at 16:36 | history | asked | Ioannis Zolas | CC BY-SA 4.0 |