arXiv subjects

Thomas Wisson

Publications and source records attributed to Thomas Wisson.

2 recordsLinked to original sources

arXiv2025

Properties of the Beilinson Height Pairing

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.

math.AG↗

arXiv2024

An Algebraic Proof of Hrushovski's Theorem

In his paper on the Mordell-Lang conjecture, Hrushovski employed techniques from model theory to prove the function field version of the conjecture. In doing so he was able to answer a related question of Voloch, which we refer to henceforth as Hrushovski's theorem. In this paper we shall give an alternative proof of said theorem in the characteristic $p$ setting, but using purely algebro-geometric ideas.

math.AG↗