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Results tagged with picard-group
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user 2083
16
votes
Seeking Noetherian normal domain with vanishing Picard group but not a UFD
Here is a very simple way to find an example: If $R$ is local, then the Picard group is always trivial (because locally free = free here).
So basically you want a local normal domain which is not UF …
- 30.6k
9
votes
Torsion-freeness of Picard group
You have my sympathy, I have struggled with torsion-freeness of Picard and class groups too.
As Donu hinted in his comment on Damiano's answer, a torsion element of the Picard group gives you a cycl …
- 30.6k