most citedSharply o-minimal structures and sharp cellular decomposition

1 citations · 1 across the 5 of their papers we have counts for

collaborators
Showing math.NTShow all

3 papers · 1 filter

math.NT2026

The Pila-Zannier strategy for Drinfeld modules and Drinfeld modular curves

Gal Binyamini, Dmitry Novikov, Francesco Maria Saettone

We extend the Pila-Zannier strategy to Drinfeld modules: we prove analogues of the Manin-Mumford theorem for a product of two Drinfeld modules of equal rank, and of the André-Oort…

math.NT2026

Counting Theorems for Algebraic Relations

Gal Binyamini, Noriko Hirata-Kohno, Makoto Kawashima +1

Let X be a set definable in a sharply o-minimal structure. We consider the problem of counting the number of points where X intersects algebraic varieties V over Q of dimension k <…

math.NT2024

Sharp bounds for the number of rational points on algebraic curves and dimension growth, over all global fields

Gal Binyamini, Raf Cluckers, Fumiharu Kato

Let be an algebraic curve over a number field , and denote by the degree of over . We prove that the number of -rational poin…