Let F=(F_n)n be an l-adic sheaf on X{et}, for a variety X over an algebraically closed field k of characteristic not equal to l. Does the presheaf sending U to H^i(U,F):=\lim_nH^i(U,F_n) sheafify to zero?
sheafifying a projective limit of presheaves
shenghao
- 4.3k
- 30
- 52