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

Vasily Rogov

Let $X$ be a normal complex algebraic variety. Let ${\mathcal{G}}_{\mathbb{Z}}^s(X)$ be the maximal torsion free nilpotent quotient of ${\pi }_1(X)$ of nilpotency class at most $s$. Let $…