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arXiv · 2508.08041

Properties of the Beilinson Height Pairing

Thomas Wisson
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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.

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Thomas Wisson. 2025-08-11. Properties of the Beilinson Height Pairing. https://arxiv.org/abs/2508.08041

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