Skip to content

Commit

Permalink
X \to Y should be Y \to X (2x)
Browse files Browse the repository at this point in the history
  • Loading branch information
aisejohan committed Oct 22, 2018
1 parent 2cc0bf5 commit 5c8d8cc
Showing 1 changed file with 2 additions and 2 deletions.
4 changes: 2 additions & 2 deletions examples.tex
Expand Up @@ -1475,9 +1475,9 @@ \section{Non-quasi-affine variety with quasi-affine normalization}
ring map $A \otimes_k B \to B_{x + y}$ is surjective. To see
this use that $A \otimes_k B$ contains the element
$xy/(x + y) \otimes 1/xy$ which maps to $1/(x + y)$.
The morphism $X \to Y$ is given by the natural maps
The morphism $Y \to X$ is given by the natural maps
$D(x + y) \to \Spec(A)$ and $D(xy) \to \Spec(B)$.
Since these are both finite we deduce that $X \to Y$ is finite
Since these are both finite we deduce that $Y \to X$ is finite
as desired. We omit the verification that $X$ is indeed the
coequalizer of the displayed diagram above, however, see
(insert future reference for pushouts in the category of schemes
Expand Down

0 comments on commit 5c8d8cc

Please sign in to comment.