Cleaned out my desk. Arms tired from lugging back box of books that migrated to desk from home.
One thing I keep finding confusing whenever I read about basic Algebraic Geometry: they keep talking about "affine n-space", but it sure as heck seems like they're always really referring to euclidean n-space, by which I mean you know where the origin is; it's the place where all the variables in k[x_1, ... x_n] are zero, right? In all other settings in math I thought "affine" meant "lol I forgot where the origin is".
psifenix I DEMAND AN EXPLANATION. Is it just an arbitrary word to distinguish affine [foo] from projective [foo]?
One thing I keep finding confusing whenever I read about basic Algebraic Geometry: they keep talking about "affine n-space", but it sure as heck seems like they're always really referring to euclidean n-space, by which I mean you know where the origin is; it's the place where all the variables in k[x_1, ... x_n] are zero, right? In all other settings in math I thought "affine" meant "lol I forgot where the origin is".
psifenix I DEMAND AN EXPLANATION. Is it just an arbitrary word to distinguish affine [foo] from projective [foo]?