Re:Who Is Alexander Grothendieck? (2008) [pdf]
by impendia on Monday August 03, 2020 @04:48PM
(#24043211)
Oops, brain fart. No, 1 is not equal to 4 even in Grothendieck's world. Scheme theory only gets you so far...
A correct example of what I had in mind is x^2 + y^2 = 1 and (x - 2)^2 + y^2 = 1.
That said, algebraic geometry takes care of this "bad example" also. This is done exactly as alcolade explained: consider "points at infinity" in projective space.
A correct example of what I had in mind is x^2 + y^2 = 1 and (x - 2)^2 + y^2 = 1.
That said, algebraic geometry takes care of this "bad example" also. This is done exactly as alcolade explained: consider "points at infinity" in projective space.