44 citations · 136 across the 15 of their papers we have counts for
16 papers
The conjecture for affine Artin groups
Giovanni Paolini, Mario Salvetti
In this summary paper, we present the key ideas behind the recent proof of the conjecture for affine Artin groups, which states that complements of locally finite affine…
Dual structures on Coxeter and Artin groups of rank three
Emanuele Delucchi, Giovanni Paolini, Mario Salvetti
We extend the theory of dual Coxeter and Artin groups to all rank-three Coxeter systems, beyond the previously studied spherical and affine cases. Using geometric, combinatorial, a…
Some computations on the characteristic variety of a line arrangement
O. Papini, M. Salvetti
We find monodromy formulas for line arrangements which are fibered with respect to the projection from one point. We use them to find -dimensional translated components in the f…
Proof of the conjecture for affine Artin groups
Giovanni Paolini, Mario Salvetti
We prove the conjecture for affine Artin groups: the complexified complement of an affine reflection arrangement is a classifying space. This is a long-standing problem, d…
Families of superelliptic curves, complex braid groups and generalized Dehn twists
Filippo Callegaro, Mario Salvetti
We consider the universal family of superelliptic curves: each curve in the family is a -fold covering of the unit disk, totally ramified over a set of d…
Homology of the family of hyperelliptic curves
Filippo Callegaro, Mario Salvetti
Homology of braid groups and Artin groups can be related to the study of spaces of curves. We completely calculate the integral homology of the family of smooth curves of genus …