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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 over any algebraically closed field: If are irreducible hypersurfaces of degree $…