Betalog

Tag: fundamental-groups

  1. Are Shimura Varieties \(K(\pi, 1)\)'s?

    Let \(\mathscr{A}_g\) be the moduli space of principally polarized Abelian varieties of dimension \(g\). The complex-analytic space (stack) associated to \(\mathscr{A}_g\) is a \(K(\pi,1)\); that is, its only non-vanishing homotopy group…