Timeline for When do we get free modules from Noether normalization
Current License: CC BY-SA 3.0
4 events
when toggle format | what | by | license | comment | |
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Jan 8, 2015 at 14:50 | comment | added | abx | Yes to both questions. Note that $\hat{X}= \mathrm{Spec}(S)$, so $\hat{X}$ Cohen-Macaulay $\Leftrightarrow \ S$ Cohen-Macaulay. | |
Jan 8, 2015 at 13:23 | vote | accept | Hans | ||
Jan 8, 2015 at 13:23 | comment | added | Hans | thank you. is it true that since $X$ is Cohen-Macaulay, I just have to check whether $S$ localized at the irrelevant ideal is Cohen-Macaulay? And is it correct that $X$ is arithmetically Cohen-Macaulay if and only if the affine cone $\hat{X}$ is Cohen-Macaulay? | |
Jan 8, 2015 at 13:03 | history | answered | abx | CC BY-SA 3.0 |