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  • 109 votes cast
Apr
14
comment Which functor does the projective space represent?
This got way clearer with time. Thanks again :-)
Apr
14
comment Which functor does the projective space represent?
Ah, the condition that the $r_i$ generate $R$ got much clearer when considering that this means that they do not all vanish at any point. This plugs nicely into thinking about projective schemes as looking for strictly non-trivial solutions to homogeneous equations. Neat :-)
Mar
17
accepted Which functor does the projective space represent?
Mar
17
comment Which functor does the projective space represent?
Thank you! Another good answer. Hard to know which one to pick, but I think I'll go for this one because it is closer to the generality I asked for. I also found this treated in a set of notes by Strickland on formal schemes.
Mar
16
comment Which functor does the projective space represent?
Thank you! I agree charts might not be all too great for understanding projective spaces, but the first thing I really understood and liked was the projective line, patched together by pieces of $k[t]$. It makes it clear to me why a meromorphic function on $X$ is the same thing as a morphism $X\to\mathbb{P}^1$. This complements nicely the notion of a regular function as a morphism $X\to\mathbb{A}^1$. If I was able to see from the definition of $\mathbb{P}^I$, that this was the case I would be every happy. At least you've told me what I need to stare at until it makes sense :-)
Mar
16
revised Which functor does the projective space represent?
edited title
Mar
16
asked Which functor does the projective space represent?
Feb
23
awarded  Nice Question
Feb
19
awarded  Nice Answer
Nov
20
comment cup products and smash products
Ok, I have no Idea what this question is actually asking anymore, but I'm glad you managed to find a satisfactory answer for yourself.
Nov
18
revised cup products and smash products
added 16 characters in body
Nov
18
answered cup products and smash products
Oct
14
comment What's $F'(x)$ if $F(x) = \int_a^{g(x)} H(x,t) dt$?
This is probably the favourite answer I've read on Stackexchange yet :-) So unbelievably natural, thank you!
Aug
19
comment Why is one “$\infty$” number enough for complex numbers?
I'd love it if that downvote came with a comment.
Aug
10
comment False proof of $H_0 ( X) = 0$
That's it, Matt :-)
Jul
29
awarded  Yearling
Jul
18
comment intersection of two affine open sets of a scheme
Is the union of the $U,V$ off the mark here? A lower bound would be the open set. Am I missing something?
Jul
5
comment What happens geometrically when the Jacobson radical is non-zero?
Well I think that answers my question pretty well to be honest. So thanks!
Jun
19
revised What happens geometrically when the Jacobson radical is non-zero?
deleted 4 characters in body
Jun
19
revised What happens geometrically when the Jacobson radical is non-zero?
added 2 characters in body; added 20 characters in body; deleted 21 characters in body