Timeline for Higher vanishing cycles
Current License: CC BY-SA 2.5
5 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Jul 25, 2011 at 15:46 | comment | added | Tyler Lawson | @SGP: Cohomology theories are supposed to be something like quasicoherent sheaves, yes. I guess I'd say that the kind of "vanishing cycles" functor would in this case not be obtained from decomposing into sheaves on an open subset and sheaves on the closed subset, but instead sheaves on an open subset and sheaves on the formal scheme which is the completion of its complement. I'd agree that this probably has more in common with arithmetic pullback squares than with the "usual" vanishing cycles. | |
| Jun 13, 2011 at 22:04 | comment | added | SGP | Awesome answer! small confusion: are cohomology theories supposed to be quasicoherent sheaves? I ask, because vanishing cycles are usually for the $\ell$-adic coefficients and I do not know if there is a (meaningful) theory of vanishing cycles of quasicoherent sheaves.. | |
| Oct 28, 2009 at 21:45 | vote | accept | Thomas Riepe | ||
| Oct 28, 2009 at 17:55 | history | answered | Tyler Lawson | CC BY-SA 2.5 |