23 citations · 118 across the 31 of their papers we have counts for
7 papers · 1 filter
Monodromy of supersolvable toric arrangements
Christin Bibby, Daniel C. Cohen, Emanuele Delucchi
We study topological aspects of supersolvable abelian arrangements, toric arrangements in particular. The complement of such an arrangement sits atop a tower of fiber bundles, and…
Combinatorial generators for the cohomology of toric arrangements
Filippo Callegaro, Emanuele Delucchi
We give a new combinatorial description of the cohomology ring structure of of the complement of a real complexified toric arrange…
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…
Erratum to "The integer cohomology algebra of toric arrangements"
Filippo Callegaro, Emanuele Delucchi
We point out two errors in the paper ``The integer cohomology algebra of toric arrangements'', Adv. Math., Vol. 313, pp. 746-802, 2017. The main error concerns Theorem 4.2.17. In t…
Orlik-Solomon-type presentations for the cohomology algebra of toric arrangements
Filippo Callegaro, Michele D'Adderio, Emanuele Delucchi +2
We give an explicit presentation for the integral cohomology ring of the complement of any arrangement of level sets of characters in a complex torus (alias "toric arrangement"). O…
The integer cohomology algebra of toric arrangements
Filippo Callegaro, Emanuele Delucchi
We compute the cohomology ring of the complement of a toric arrangement with integer coefficients and investigate its dependency from the arrangement's combinatorial data. To this…