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Results tagged with differentials
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user 15242
0
votes
0
answers
591
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what does it mean for a differential to be regular at a singular point?
Let $\omega$ be a differential form on a singular integral curve $X'$ over some algebraically closed field $k$ (ie, $\omega$ is an element of the stalk of the sheaf of differentials $\Omega_{X'}$ of $X … So, I'm still relatively new to differentials, but I would have thought that you would say that a differential $\omega\in\Omega_{X',\eta}$ ($\eta$ the generic point of $X'$) is regular at $Q$ if $\omega …
- 10.7k
5
votes
2
answers
1k
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trying to understand the support of the sheaf of relative differentials
understanding that the critical points of $t$ should be the images of the ramification points of $t$ under $t$, so I've been trying to understand why it should be the case that the sheaf of relative differentials … Any comments on how I should think of $\Delta^*(...)$ and why the sheaf of relative differentials only have nonzero stalks at ramification points would be awesome!
thanks. …
- 10.7k