Duality for Witt-divisorial sheaves
arXiv:1910.10366 · doi:10.4310/ARKIV.2022.v60.n1.a5
Abstract
We adapt ideas from Ekedahl [Eke84] to prove a Serre-type duality for Witt-divisorial sheaves of -Cartier divisors on a smooth projective variety over a perfect field of finite characteristic. We also explain its relationship to Tanaka's vanishing theorems [Tan20].
v2: I made many changes, corrected a number of mistakes. The main theorem is now more technical, and somewhat more limited. v3: I fixed a few typos. To appear in Arkiv för Matematik