Properties of the Beilinson Height Pairing
Algebraic Geometry
2025-08-14 v2 Number Theory
Abstract
First constructed by Beilinson for curves defined over an algebraically closed field; R\"ossler and Szamuely generalized Beilinson's height pairing to the higher dimensional setting. In this paper we study this pairing and relate it to the intersection product by constructing a new height pairing. We also prove that it satisfies a projection formula matching the one satisfied by the intersection product.
Keywords
Cite
@article{arxiv.2508.08041,
title = {Properties of the Beilinson Height Pairing},
author = {Thomas Wisson},
journal= {arXiv preprint arXiv:2508.08041},
year = {2025}
}
Comments
Section 1.3. added to summarise the main results