Taito Shimoji

collaborators

3 papers

math.AT2026

Quasi-projective nilmanifolds

Taito Shimoji

Let $M = V ∖ D$ be a smooth quasi-projective variety for some smooth projective variety $V$ and a divisor $D$ with normal crossings. Assume that $M$ is diffeomorphic to a non-…

math.AG2026

On the torsion-free nilpotent fundamental groups of smooth quasi-projective varieties of rank up to seven

Taito Shimoji

Let $X$ be a smooth quasi-projective variety. Assume that the (topological) fundamental group $I ¨ _{1} (X, x)$ is torsion-free nilpotent. We show that if the first Betti number $b_1(X)…

math.DG2025

Gradings on nilpotent Lie algebras associated with the nilpotent fundamental groups of smooth complex algebraic varieties

Taito Shimoji

Let $I^$ be a lattice in a simply-connected nilpotent Lie group $N$ whose Lie algebra $n$ is $p$ -filiform. We show that $I^$ is either abelian or 2-step nilpotent if $Î…