Minimality of toric arrangements

Giacomo d'Antonio, Emanuele Delucchi
2015 Journal of the European Mathematical Society (Print)  
We prove that the complement of a toric arrangement has the homotopy type of a minimal CW complex. As a corollary we obtain that the integer cohomology of these spaces is torsion free. We use Discrete Morse Theory, providing a sequence of cellular collapses that leads to a minimal complex.
doi:10.4171/jems/508 fatcat:ori725bs7rgihbiuqvct4q3jju