Explicit Deligne pairing
Algebraic Geometry
2021-06-14 v2
Abstract
We give an explicit formula for the Deligne pairing for a proper and flat morphisms of schemes, in terms of the determinant of cohomology. The whole construction is justified by an analogy with the intersection theory on non-singular projective algebraic varieties.
Cite
@article{arxiv.1911.05367,
title = {Explicit Deligne pairing},
author = {Paolo Dolce},
journal= {arXiv preprint arXiv:1911.05367},
year = {2021}
}
Comments
21 pages, accepted version. Some typos have been fixed