Timeline for Maps to projective space determined by a line bundle

10 events

when toggle format	what		by	license	comment
S Mar 26, 2016 at 23:57	history	suggested	Earthliŋ	CC BY-SA 3.0	improved formatting
Mar 26, 2016 at 23:47	review	Suggested edits
S Mar 26, 2016 at 23:57
Nov 7, 2009 at 23:57	history	edited	Ilya Nikokoshev	CC BY-SA 2.5	added 310 characters in body
Nov 7, 2009 at 23:38	comment	added	Ilya Nikokoshev		Depends on how you define your projective variety and bundle. If you define your variety as `Proj A` (`A` has special properties) then bundle is a module over `A` and you can take `Proj \Gamma(\oplus_n\otimes_n(M))`. But now you should really look at the Hartshorne --- that's what the book is good at.
Nov 7, 2009 at 23:35	comment	added	Ilya Nikokoshev		Yes, it should be so.
Nov 7, 2009 at 23:34	comment	added	Greg Muller		But this still doesn't satisfy the algebraist in me... Ideally, I'd want a construction that was naturally occuring in the module category, and used projectivity & (something else).
Nov 7, 2009 at 23:32	comment	added	Greg Muller		Right, this is where I was going when I was talking about a map $X\rightarrow Hom_\mathbb{C}(\Gamma(V),\mathbb{C}^n)//GL(n)$. In the case of a rank n vector bundle, which is locally modeled on $\mathbb{C}^n$, then points give maps $\Gamma(V)\rightarrow\mathbb{C}^n$ (modulo the action of $GL(n)$).
Nov 7, 2009 at 23:26	history	edited	Ilya Nikokoshev	CC BY-SA 2.5	add more
Nov 7, 2009 at 23:18	history	edited	Ilya Nikokoshev	CC BY-SA 2.5	reworked
Nov 7, 2009 at 23:09	history	answered	Ilya Nikokoshev	CC BY-SA 2.5