3 papers
math.AG2026
Birational morphisms in quantum toric geometry
Antoine Boivin
In this paper, we investigate birational toric morphisms between quantum toric stacks -- namely, toric (analytic) stacks associated with fans whose cones may be irrational -- focus…
math.AG2025
Gluing moduli spaces of quantum toric stacks via secondary fan
Antoine Boivin
The extension from toric varieties to quantum toric stacks allows for the study of moduli spaces of toric objects with fixed combinatorial structures, as we now consider general fi…
math.AG2025
Seminormal toric varieties
François Bernard, Antoine Boivin
In this paper, we provide a combinatorial description of seminormal toric varieties. The corresponding combinatorial object is a fan equipped with a collection of groups assigned t…