Timeline for vanishing of higher algebraic de Rham cohomology and sheaves of differentials for singular curves
Current License: CC BY-SA 4.0
6 events
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Aug 27, 2019 at 13:38 | history | edited | Somatic Custard | CC BY-SA 4.0 |
clarified a condition
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Aug 23, 2019 at 17:08 | comment | added | Somatic Custard | I am aware of that MO question and that paper, but so far I haven't been able to extract the desired information from them. | |
Aug 23, 2019 at 16:38 | comment | added | abx | See this MO question. You won't find many references, because the approach in the smooth case clearly does not work in the singular case. For a correct approach, see Hartshorne's paper in Publ. IHES 45 (1975). | |
Aug 23, 2019 at 16:19 | comment | added | Somatic Custard | @abx ok, thank you. My calculations suggested this, but I was unsure of myself. And how about the cohomology? Is there anywhere I can see these calculations carried out? | |
Aug 23, 2019 at 16:16 | comment | added | abx | For $X$ a curve with one ordinary double point $p$, $\Omega ^2_{X/k}$ is nonzero (it is isomorphic to $k(p)$). | |
Aug 23, 2019 at 16:00 | history | asked | Somatic Custard | CC BY-SA 4.0 |