F. Polizzi

collaborators

4 papers

math.GR2026

Finite quotients of full surface braid groups and complex surfaces of general type: cyclic, dihedral, and extra-special quotients

Massimiliano Alessandro, Michelangelo Migliano, Francesco Polizzi

Let $B_{2} (I^£_{g})$ be the full braid group on two strings on a compact Riemann surface of genus $g$ . We compute the number of finite cyclic, dihedral and extra-special quotie…

math.GR2026

On finite quotients of surface braid groups having order at most $127$

Francesco Polizzi, Pietro Sabatino

Let $I^£_{b}$ be a compact Riemann surface of genus $b \geq 2$ and let $P_{2} (I^£_{b}) = I ¨ _{1} (I^£_{b} \times I^£_{b} - I^)$ be the corresponding pure braid group on two strands. A finite…

math.AG2025

Pluri-cotangent maps of surfaces of general type

Francesco Polizzi, Xavier Roulleau

Let $X$ be a compact, complex surface of general type whose cotangent bundle $I^c ◯_{X}$ is strongly semi-ample. We study the pluri-cotangent maps of $X$ , namely the morphisms $Ï_n \co…