Vasily Rogov

activity

20242026

collaborators

5 papers

math.AG2026

Topology of higher Albanese maps and aspherical varieties with nilpotent fundamental group

Vasily Rogov

Let $X$ be a normal complex algebraic variety. Let $G_{Z}^{s} (X)$ be the maximal torsion free nilpotent quotient of $π_{1} (X)$ of nilpotency class at most $s$ . Let $…

math.DG2026

Holomorphic families of knots

Rodion Déev, Vasily Rogov

Let $(M, [g])$ be a $3$ -dimensional conformal manifold. The space of knots $Kn (M)$ in $M$ is an infinite-dimensional manifold that is known to carry an almost comple…

math.AG2025

O-minimal geometry of higher Albanese manifolds

Vasily Rogov

Let X be a normal quasi-projective variety over $C$ . We study its higher Albanese manifolds, introduced by Hain and Zucker, from the point of view of o-minimal geometry. W…

math.AG2024

The Bieri-Neumann-Strebel sets of quasi-projective groups

Vasily Rogov

Let $X$ be a smooth complex quasi-projective variety and $Γ = π_{1} (X)$ . Let $χ : Γ \to R$ be an additive character. We prove that the ray $[χ]$ does not belong to the BNS…

math.DG2024

On the metric Kollár-Pardon problem

Vasily Rogov

Let $(M, g)$ be a compact real analytic Riemannian manifold and $π : M \to M$ its universal cover. Assume that $M$ can be realised as a manifold definab…