Timeline for Torsion-free sheaf cohomology over discrete valuation rings
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| May 17, 2017 at 19:54 | comment | added | Ron | @JasonStarr I think I got it, thanks. | |
| May 15, 2017 at 15:15 | comment | added | Jason Starr | I do not quite know what you are asking. I gave you some of the key names and keywords above. If there is something specific that you need, then you can e-mail me. However, I recommend that you just plug those key names and keywords into a search engine to get to the primary sources. | |
| May 14, 2017 at 17:05 | comment | added | Ron | @JasonStarr Could you please suggest some reference where I could read about these facts. I need this for my research and will be very helpful if you could let me know. | |
| May 14, 2017 at 14:28 | history | edited | Ron | CC BY-SA 3.0 |
added 27 characters in body
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| May 14, 2017 at 10:16 | comment | added | Jason Starr | If you assume that your scheme lifts over the Witt ring, then there are some positive results. Please note, lifting over the Witt ring is stronger than "lifts to characteristic $0$", since you are not allowing to take roots of $p$. | |
| May 14, 2017 at 10:13 | comment | added | Ron | @JasonStarr Is there any known condition, we can impose on $X$ to avoid this situation? | |
| May 14, 2017 at 10:06 | comment | added | Jason Starr | I think that can happen already for the supersingular Enriques surfaces: I believe that these are dominated by rational surfaces (thus they are even unirational, not just rationally connected). | |
| May 14, 2017 at 9:18 | comment | added | Ron | @JasonStarr Thank you. I am mainly interested in the case the generic fiber is rationally connected but the residue field is of positive characteristic. | |
| May 14, 2017 at 9:02 | comment | added | Jason Starr | If the residue field has characteristic $0$, there are positive results (Koll'ar and Shokurov, etc.). If the residue field has characteristic $p$, this can fail, e.g., for what are called "singular" Enriques surfaces (these are smooth, proper schemes). | |
| May 14, 2017 at 7:01 | history | asked | Ron | CC BY-SA 3.0 |