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Results tagged with universal-property
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user 37
11
votes
What is the universal property of normalization?
Normalization is right adjoint to the inclusion functor from the category of normal schemes into the category of reduced schemes. In other words, if $n:Y\rightarrow X$ is the normalization of $X$ and …
- 916
20
votes
Accepted
What is the universal property of normalization?
I've realized that my answer is wrong. Here's the right answer: if $Z$ is a normal scheme and $f: Z \to X$ is a morphism such that each associated point of $Z$ maps to an associated point of $X$, the …
- 916