Timeline for Group action on sheaves
Current License: CC BY-SA 2.5
6 events
when toggle format | what | by | license | comment | |
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Feb 25, 2011 at 9:14 | comment | added | Peter Toth | thanks a lot. this was my main concern even if a did not write it exactly... | |
Feb 25, 2011 at 9:09 | vote | accept | Peter Toth | ||
Feb 25, 2011 at 1:28 | comment | added | shenghao | a 'direct proof' of local constancy: $\pi_*F$ is locally constant by proper smooth base change, and its invariant is just the kernel/equalizer of all automorphisms $g\in G,$ which is locally constant (when passing to a covering, one is taking equalizer of morphisms of constant sheaves, and the sheaf equalizer is just the presheaf equalizer, which is constant). | |
Feb 24, 2011 at 17:14 | vote | accept | Peter Toth | ||
Feb 25, 2011 at 9:09 | |||||
Feb 24, 2011 at 17:13 | comment | added | Peter Toth | hi....thanks for the very wide range answer (you seem to know also my hidden intentions also:-)...what i want to do is to prove local constancy of the G-invariants of the push forward on the quotient by proving that there is an isomorphism written in my question. | |
Feb 24, 2011 at 17:06 | history | answered | Dan Petersen | CC BY-SA 2.5 |