Timeline for Is there an analogue of the linking pairing in etale, crystalline, etc cohomology theories?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 25, 2016 at 7:05 | comment | added | SashaP | It seems to me that the existence of these two pairings is a formal consequence of universal coefficients formula and Poincare duality for cohomology with integral coefficients. The latter holds for $l$-adic($l\neq p$) and crystalline cohomology of smooth proper varieties. | |
| Oct 25, 2016 at 7:02 | history | edited | SashaP | CC BY-SA 3.0 |
added conditions for Poincare duality
|
| Oct 25, 2016 at 0:09 | comment | added | David Hansen | This should be fine, and as you suggest, at least for smooth proper varieties over an algebraically closed field of characteristic $\neq \ell$. You'll have to be careful about Tate twists in your switch from homology to cohomology, though. | |
| Oct 24, 2016 at 23:38 | history | asked | Philip Engel | CC BY-SA 3.0 |