Immanuel van Santen

collaborators

3 papers

math.AG2024

On the Weights of Root Subgroups of Affine Toric Varieties

Immanuel van Santen

Let $X$ be an affine toric variety and let $D (X)$ be the set of weights of all root subgroups. It is known that $D (X)$ together with its embedding into the character group determin…

math.NT2023

On the Manin-Mumford Theorem for Algebraic Groups

Harry Schmidt, Immanuel van Santen

We describe the Zariski-closure of sets of torsion points in connected algebraic groups. This is a generalization of the Manin-Mumford conjecture for commutative algebraic groups p…

math.AG2023

Complements of hypersurfaces in projective spaces

Jérémy Blanc, Pierre-Marie Poloni, Immanuel Van Santen

We study the complement problem in projective spaces $P^{n}$ over any algebraically closed field: If $H, H^{'} \subseteq P^{n}$ are irreducible hypersurfaces of degree $…