23 citations · 76 across the 24 of their papers we have counts for
4 papers · 1 filter
The homotopy type of elliptic arrangements
Emanuele Delucchi, Roberto Pagaria
We give combinatorial models for the homotopy type of complements of elliptic arrangements (i.e., certain sets of abelian subvarieties in a product of elliptic curves). We give a p…
Representations of torsion-free arithmetic matroids
Roberto Pagaria, Giovanni Paolini
We study the representability problem for torsion-free arithmetic matroids. By using a new operation called "reduction" and a "signed Hermite normal form", we provide and implement…
Extra structure on the cohomology of configuration spaces of closed orientable surfaces
Roberto Pagaria
The rational homology of unordered configuration spaces of points on any surface was studied by Drummond-Cole and Knudsen. We compute the rational cohomology of configuration space…
The cohomology rings of the unordered configuration spaces of the torus
Roberto Pagaria
We study the cohomology ring of the configuration space of unordered points in the two dimensional torus. In particular, we compute the mixed Hodge structure on the cohomology, the…