Timeline for Algebraic, analytic, formal modules
Current License: CC BY-SA 2.5
3 events
| when toggle format | what | by | license | comment | |
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| Aug 7, 2010 at 11:55 | comment | added | BCnrd | This "class group" terminology is meant in the sense of "Weil divisors modulo principal divisors" (e.g., a non-principal height-1 prime ideal) rather than the alternative meaning with invertible modules/sheaves (which is trivial for a local ring). But this notion of "class group" doesn't make sense for abstract modules, merely ideals in the ring. So can you rule out that the non-principal height-1 prime over the completion may be module-isomorphic to the completion of a finitely generated module over the henselized algebraic local ring (as in the correct form of the question)? | |
| Aug 7, 2010 at 10:21 | comment | added | Hailong Dao | Dear Mohan, by the way, do you know any example over $\mathbb C$? I looked in Fossum but could not find any. Thanks. | |
| Aug 7, 2010 at 9:37 | history | answered | Mohan | CC BY-SA 2.5 |