37 citations · 44 across the 24 of their papers we have counts for
4 papers · 1 filter
A rational map with infinitely many points of distinct arithmetic degrees
John Lesieutre, Matthew Satriano
Let be a dominant rational self-map of a smooth projective variety defined over . For each point …
Galois closures of non-commutative rings and an application to Hermitian representations
Wei Ho, Matthew Satriano
Galois closures of commutative rank n ring extensions were introduced by Bhargava and the second author. In this paper, we generalize the construction to the case of non-commutativ…
Lifting tropical self intersections
Yoav Len, Matthew Satriano
We study the tropicalization of intersections of plane curves, under the assumption that they have the same tropicalization. We show that the set of tropical divisors that arise in…
Canonical heights on hyper-Kähler varieties and the Kawaguchi-Silverman conjecture
John Lesieutre, Matthew Satriano
The Kawaguchi--Silverman conjecture predicts that if is a dominant rational-self map of a projective variety over , and is…