collaborators

2 papers

math.LO2025

Hyperbolicity and model-complete fields

Michał Szachniewicz, Jinhe Ye

We study model-complete fields that avoid a given quasi-project variety . There is a close connection between hyperbolicity of and the existence of the model companion for t…

math.NT2024

Continuity of heights in families and complete intersections in toric varieties

Pablo Destic, Nuno Hultberg, Michał Szachniewicz

We study the variation of heights of cycles in flat families over number fields or, more generally, globally valued fields. To a finite type scheme over a GVF we associate a locall…