Timeline for Is "quotient" of projective variety projective?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 20, 2015 at 5:06 | comment | added | Mikhail Bondarko | Morover, $Y$ is proper if and only if such an $X$ exists: en.wikipedia.org/wiki/Chow's_lemma | |
| Jun 19, 2015 at 12:42 | vote | accept | CommunityBot | ||
| Jun 19, 2015 at 12:39 | comment | added | Jason Starr | Yes, there are references. In this case it is elementary to construct the quotient by hand. Karl Schwede has an expository note about coproducts. The standard reference is Artin's "Algebraization and Formal Moduli, II", which works in the category of algebraic spaces. Also I just learned from Count Dracula (pseudonym, I assume) of a lovely reference by Daniel Ferrand, "Conducteur, Descente et Pincement". At any rate, in this case it is elementary to check that the coproduct $Y$ is, in fact, a scheme. | |
| Jun 19, 2015 at 12:37 | comment | added | user39380 | Is there a reference for the construction of coproduct? | |
| S Jun 19, 2015 at 12:29 | history | answered | Jason Starr | CC BY-SA 3.0 | |
| S Jun 19, 2015 at 12:29 | history | made wiki | Post Made Community Wiki by Jason Starr |