Vasily Rogov

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20242026

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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…