Skip to main content

Timeline for What is a proper stack?

Current License: CC BY-SA 2.5

7 events
when toggle format what by license comment
Dec 12, 2020 at 21:52 answer added Pulcinella timeline score: 1
Jan 27, 2010 at 9:04 vote accept Andrea Ferretti
Jan 26, 2010 at 22:26 answer added t3suji timeline score: 10
Jan 26, 2010 at 20:03 comment added Emerton If you look in Deligne--Mumford, you will find the definition, as well as a statement of the valuative criterion.
Jan 26, 2010 at 19:58 comment added Andrea Ferretti This is exactly what I'm asking. Can you argue a bit more on the standard terminology in an answer? The definition I have seen says that a morphism of stacks has property P iff it is representable and and every morphism between schemes obtained from it by base change has property P.
Jan 26, 2010 at 18:58 comment added t3suji Why do you say that a proper morphism `as usual it should be representable'? There are proper morphisms that are not representable. For instance, the morphism from the classifying stack of a finite group to a point is proper. This is an example of a complete Deligne-Mumford stack (I also prefer to use 'complete' for spaces and 'proper' for morphisms).
Jan 26, 2010 at 18:11 history asked Andrea Ferretti CC BY-SA 2.5