A ${\pi }_1$ obstruction to having finite index monodromy and an unusual subgroup of infinite index in $\text{Mod}({\Sigma }_g)$

Ishan Banerjee

Let $X$ be an algebraic surface with $\mathcal{L}$ an ample line bundle on $X$. Let $\Gamma (X,\mathcal{L})$ be the \emph{geometric monodromy} group associated to family of nonsingular…