Timeline for When is the push-forward of the structure sheaf locally free
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| May 8, 2010 at 12:54 | comment | added | Matthew Morrow | I almost added a caveat to my reply that $A$ was assumed to be Noetherian, but decided not to on the grounds that the question was about Noetherian schemes. Next time I will be more careful! | |
| May 8, 2010 at 7:46 | comment | added | Matthieu Romagny | To be irreproachable, one should in fact say : a finitely $presented$ $A$-module is locally free if and only if it is flat. There are examples of surjective, non-finitely presented morphisms of local rings that are flat. | |
| May 7, 2010 at 22:51 | history | edited | Matthew Morrow | CC BY-SA 2.5 |
added 100 characters in body
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| May 7, 2010 at 22:08 | history | answered | Matthew Morrow | CC BY-SA 2.5 |