Duality for Witt-divisorial sheaves
Algebraic Geometry
2022-07-22 v3
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].
Cite
@article{arxiv.1910.10366,
title = {Duality for Witt-divisorial sheaves},
author = {Niklas Lemcke},
journal= {arXiv preprint arXiv:1910.10366},
year = {2022}
}
Comments
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 f\"or Matematik