Timeline for what is the first Galois cohomology group of the Galois module End(T_l(A)) for some abelian variety A over a finite field k and l some prime number different from the characteristic of the base field?
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7 events
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May 11, 2011 at 23:05 | vote | accept | Heer | ||
May 17, 2010 at 14:55 | comment | added | Heer | @BCnrd: Thank you very much, Prof. Conrad | |
May 17, 2010 at 13:47 | history | edited | Xandi Tuni | CC BY-SA 2.5 |
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May 17, 2010 at 13:36 | comment | added | BCnrd | @Heer: look more closely at the statement of 17.2 and especially the sentence preceding it; his example of Tate module certainly violates his conventions there. You may also wish to look at the appendix of Rubin's book on Euler systems (where he discusses the general formalism of Galois cohomology with ``$\ell$-adic coefficients" for arithmetically interesting fields in a concrete way). | |
May 17, 2010 at 13:05 | comment | added | Heer | williamstein.org/edu/2010/582e/lectures/all/… In Stein's lecture note section 17, it seems that he formulates galois cohomology without mensioning discrete galois module, and says that Tate modules are Galois modules. This makes me very confusing | |
May 17, 2010 at 13:00 | vote | accept | Heer | ||
May 11, 2011 at 23:05 | |||||
May 17, 2010 at 12:03 | history | answered | Xandi Tuni | CC BY-SA 2.5 |