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Jan 18, 2022 at 21:51 vote accept Tireless and hardworking
Jan 18, 2022 at 19:57 answer added F Zaldivar timeline score: 4
Jan 18, 2022 at 17:12 comment added Tireless and hardworking @FZaldivar Is the following true? "If we change the resolution in a "good" way, then the resulting cohomology groups do not change"
Jan 18, 2022 at 16:44 comment added Tireless and hardworking @FZaldivar Thanks for the "errata". I don't know these concepts: "resolution with homogeneous coordinates" and "resolution with non-homogeneous coordinates".
Jan 17, 2022 at 22:53 comment added F Zaldivar Additionally, there is an "errata" for Neukirch's book at: mathi.uni-heidelberg.de/~schmidt/papers/errata-cft.pdf . If your interests are on class-field theory, I would stick with Neukirch's.
Jan 17, 2022 at 21:42 comment added F Zaldivar The formula in Neukirch is correct; probably your confusion starts when one switches from a resolution with homogeneous coordinates to one with non-homogeneous coordinates because of the $G$-equivariance. Please note that in M. Hall notation I would use $G=\Omega$ and write $C^n(G, A)$ for $A$ a (left) $G$-module.
Jan 17, 2022 at 20:54 history edited YCor CC BY-SA 4.0
abridged lengthy title to essential part and move other to question; formatting
Jan 17, 2022 at 20:41 history asked Tireless and hardworking CC BY-SA 4.0