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Mar
14
awarded  Yearling
Nov
12
comment Semistable reduction and log structures
Ah that's actually really useful. I guess I had just naively assumed that you could glue the above log structure to get something on the whole of $X_k$, but clearly this was a mistake.
Nov
2
asked Semistable reduction and log structures
Jun
7
awarded  Informed
Apr
17
asked Reference for a lemma on étale maps
Mar
26
asked Non-embeddable varieties
Mar
14
awarded  Yearling
Jan
13
awarded  Mortarboard
Jan
12
comment When is “independence of l” known?
For the individual cohomology groups $H^i$, then no.
Jan
8
revised When is “independence of l” known?
added 512 characters in body
Jan
8
comment When is “independence of l” known?
But what you can deduce is $\ell$-independence for the alternating sums of traces.
Jan
8
comment When is “independence of l” known?
Ah, actually reflecting on it a bit more, I think I got a bit carried away. What I was thinking was that if the weight-monodromy conjecture were true, then to know $\ell$-independence, you need to know $\ell$-independence of traces for everything appearing in the $E_2$ page of the weight spectral sequence (since these are then the graded pieces of the monodromy filtration). Now although you know independence of everything on the $E_1$ page, this doesn't imply $\ell$-independence for everything on the $E_2$ page (this was the mistake I made).
Jan
5
revised When is “independence of l” known?
edited body
Jan
5
revised When is “independence of l” known?
added 352 characters in body
Jan
5
answered When is “independence of l” known?
Dec
15
accepted “Weight-monodromy” for open varieties
Dec
12
revised “Weight-monodromy” for open varieties
edited body
Dec
12
asked “Weight-monodromy” for open varieties
Nov
13
answered Algebraization isomorphism, formal existence, mod p
Oct
17
awarded  Yearling