7 papers
Leaving the Hall: explicit formulas for Neguţ operators
Michele D'Adderio, Giovanni Interdonato, Alessandro Iraci +1
Recent major breakthroughs in -combinatorics include the introduction of the Dyck path algebra by Carlsson and Mellit and of the Catalanimals by Blasiak et…
Falling stars: a fall-decorated rational shuffle theorem
Alessandro Iraci, Roberto Pagaria, Giovanni Paolini
In this paper, we formulate a rational analog of the fall Delta theorem and the Delta square conjecture. We find a new dinv statistic on fall-decorated paths on a $(m+k) \times (n+…
Building sets, Chow rings, and their Hilbert series
Christopher Eur, Luis Ferroni, Jacob P. Matherne +2
We establish formulas for the Hilbert series of the Chow ring of a polymatroid using arbitrary building sets. For braid matroids and minimal building sets, our results produce new…
The Poincaré polynomial of the type B analogue of
Luis Ferroni, Roberto Pagaria, Lorenzo Vecchi
We establish formulas for the Poincaré polynomial of the type B analogue of the Deligne--Knudsen--Mumford moduli space of rational curves with marked points, providing type B…
Cohomology ring of non-compact abelian arrangements
Evienia Bazzocchi, Roberto Pagaria, Maddalena Pismataro
We give a Orlik-Solomon type presentation for the cohomology ring of arrangements in a non-compact abelian Lie group. The new insight consists in comparing arrangements in differen…
Elliptic arrangements of complex multiplication type
Luca Moci, Roberto Pagaria, Maddalena Pismataro +1
We provide a natural definition of an elliptic arrangement, extending the classical framework to an elliptic curve E with complex multiplication. We analyse the intersections of el…