$L^2$-type invariants for complex smooth quasi-projective varieties -- a
survey
$L^2$-type invariants for complex smooth quasi-projective varieties -- a
survey
Let $X$ be a complex smooth quasi-projective variety with an epimorphism $\nu \colon \pi_1(X)\twoheadrightarrow \mathbb{Z}^n$. We survey recent developments about the asymptotic behaviour of Betti numbers with any field coefficients and the order of the torsion part of singular integral homology of finite abelian covers of $X$ associated to $\nu$, …