Timeline for Calabi-Yau cohomology?
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Nov 24, 2020 at 9:31 | comment | added | Urs Schreiber | @Emily thanks for the pointer. Have added it to the nLab here ncatlab.org/nlab/show/K3-spectrum#Nogami10 with discussion here: nforum.ncatlab.org/discussion/5946/k3spectrum/… | |
| Nov 24, 2020 at 4:21 | comment | added | Emily | @UrsSchreiber Do you know about this thesis? It seems relevant (though surprisingly hard to come across!). | |
| May 19, 2014 at 15:21 | comment | added | Urs Schreiber | (Szymik 10) ($\leftarrow$ mouseover) points in his reference item [19] to a "report" by Jack Morava on Mike Hopkins’ work on Calabi-Yau cohomology, which apparently, as I mentioned above, was presented in 1992 at the Midwest topology Seminar. But I haven't seen this report. The earliest mentioning that I have seen in print (so far) is (Sati 05), where the terminology is proposed on the last page. | |
| May 19, 2014 at 14:27 | comment | added | bananastack | can I ask where the term "calabi-yau cohomology" was first coined? | |
| May 18, 2014 at 19:38 | comment | added | Urs Schreiber | @CharlesRezk, true, I should have mentioned this. For completeness I have now added a brief remark on that to the relevant nLab entry: ncatlab.org/nlab/show/… (just as Matt says, of course). | |
| May 18, 2014 at 1:45 | comment | added | Matt | To guarantee that $\Phi^n$ be prorepresentable by a formal group, it suffices to have $\Phi^{n-1}$ be formally smooth. The condition that $H^{n-1}(X, \mathcal{O}_X)=0$ is an overly strong way to guarantee that. Then yes, $\dim H^n(X, \mathcal{O}_X)$ gives the dimension of the formal group $\Phi^n$, so for a Calabi-Yau it is one-dimensional. | |
| May 18, 2014 at 1:37 | comment | added | Charles Rezk | A naive question: I chased your link to the nforum page on Artin-Mazur fg. Looking at it, I don't see what is special about Calabi-Yau varieties, over arbitrary ones of dim n. I'm guessing the CY condition is what's need to make the AMfg one dimensional, yes? | |
| May 17, 2014 at 20:02 | history | edited | Urs Schreiber | CC BY-SA 3.0 |
fixed typo
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| May 17, 2014 at 18:18 | history | asked | Urs Schreiber | CC BY-SA 3.0 |