Immanuel van Santen

activity

20162024

most citedAutomorphisms of the affine 3-space of degree 3

5 citations · 10 across the 7 of their papers we have counts for

collaborators

8 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 $…

math.AG2020

Existence of Embeddings of Smooth Varieties into Linear Algebraic Groups

Peter Feller, Immanuel van Santen

We prove that every smooth affine variety of dimension $d$ embeds into every simple algebraic group of dimension at least $2 d + 2$ . We do this by establishing the existence of embedd…

math.AG2019★ 5 cited

Automorphisms of the affine 3-space of degree 3

Jérémy Blanc, Immanuel van Santen

In this article we give two explicit families of automorphisms of degree $\leq 3$ of the affine $3$ -space $A^{3}$ such that each automorphism of degree $\leq 3$ of $\mathbb{…

math.AG2019

Dynamical degrees of affine-triangular automorphisms of affine spaces

Jérémy Blanc, Immanuel van Santen

We study the possible dynamical degrees of automorphisms of the affine space $A^{n}$ . In dimension $n = 3$ , we determine all dynamical degrees arising from the composition of…

math.AG2017★ 1 cited

Embeddings of Affine Spaces into Quadrics

Jérémy Blanc, Immanuel van Santen né Stampfli

This article provides, over any field, infinitely many algebraic embeddings of the affine spaces $A^{1}$ and $A^{2}$ into smooth quadrics of dimension two and three r…

math.AG2016★ 4 cited

Uniqueness of Embeddings of the Affine Line into Algebraic Groups

Peter Feller, Immanuel van Santen né Stampfli

Let $Y$ be the underlying variety of a connected affine algebraic group. We prove that two embeddings of the affine line $C$ into $Y$ are the same up to an automorphism of…