Analysis reveals a new height pairing in higher dimensions, indicating its connection to intersection products.
First constructed by Beilinson for curves defined over an algebraically closed field; Rössler 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.
No takes yet. Share an insight, caveat, or question.
Thomas Wisson (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: