Timeline for Applications of Govorov-Lazard Theorem?
Current License: CC BY-SA 3.0
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| Apr 19, 2013 at 10:09 | comment | added | user30180 | The special case of Lazard's theorem over $\mathbf{Z}/n\mathbf{Z}$ can be proved much more easily than the general case (we can assume $n$ is a prime power to be over an artin local ring, and then lift a basis over the residue field and use the vanishing of a power of the maximal ideal, etc. -- this appears very early on in Matsumura's book "Commutative Ring Theory", for example), so it could be debatable to say that Lazard's theorem plays a "crucial role" in the proof of the proper base change theorem. But the final sentence is not debatable. :) | |
| Apr 18, 2013 at 14:33 | history | edited | Olivier | CC BY-SA 3.0 |
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| Apr 18, 2013 at 10:29 | comment | added | Ralph | Thanks for the example. I think the principle you formulated in the last sentence is good to keep in mind. | |
| Apr 17, 2013 at 8:37 | history | answered | Olivier | CC BY-SA 3.0 |