2 citations · 3 across the 4 of their papers we have counts for
4 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…
First-order aspects of Artin groups
Alberto Cassella, Gianluca Paolini, Giovanni Paolini
We prove several results on the model theory of Artin groups, focusing on Artin groups which are "far from right-angled Artin groups". The first result is that if is a class of…
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…
Rectangular analogues of the square paths conjecture and the univariate Delta conjecture
Alessandro Iraci, Roberto Pagaria, Giovanni Paolini +1
In this paper, we extend the rectangular side of the shuffle conjecture by stating a rectangular analogue of the square paths conjecture. In addition, we describe a set of combinat…