Timeline for Structure theorem for etale algebras over a more general ring than a field
Current License: CC BY-SA 4.0
9 events
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| May 14, 2019 at 22:44 | vote | accept | display llvll | ||
| May 6, 2019 at 9:21 | vote | accept | display llvll | ||
| May 10, 2019 at 15:53 | |||||
| Apr 26, 2019 at 15:05 | history | edited | display llvll |
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| Apr 26, 2019 at 12:59 | comment | added | anon | When is local henselian (e.g., local artinian), then the finite etale A have essentially the same description as in the field case (but there are also nonfinite etale A that don't extend to finite B). If R is a normal domain, you essentially get them all by taking the integral closure A in a finite separable extension of the field of fractions of R, and passing to an open subset of Spec(A). It is true that locally on Spec(A), the extension is given by a single polynomial, but this doesn't tell you much globally. For a discussion of such things, see, for example, Chapter I of Milne's book EtCo. | |
| Apr 26, 2019 at 12:18 | answer | added | Leo Alonso | timeline score: 2 | |
| Apr 26, 2019 at 9:13 | history | edited | display llvll |
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| Apr 26, 2019 at 6:13 | history | edited | display llvll | CC BY-SA 4.0 |
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| Apr 25, 2019 at 22:10 | review | First posts | |||
| Apr 25, 2019 at 22:13 | |||||
| Apr 25, 2019 at 22:08 | history | asked | display llvll | CC BY-SA 4.0 |