8 citations · 16 across the 9 of their papers we have counts for
11 papers
Continuous Linear Series
Eduardo Esteves, Antonio Nigro, Pedro Rizzo
We parameterize by a fine moduli space all degenerations of linear series to a singular curve which is the union of two smooth components meeting transversally at a single point. F…
Counting points on Hessenberg Varieties over finite fields
Alex Abreu, Antonio Nigro, Samrith Ram
We give a counting formula in terms of modified Hall-Littlewood polynomials and the chromatic quasisymmetric function for the number of points on an arbitrary Hessenberg variety ov…
Splitting the cohomology of Hessenberg varieties and e-positivity of chromatic symmetric functions
Alex Abreu, Antonio Nigro
For each indifference graph, there is an associated regular semisimple Hessenberg variety, whose cohomology recovers the chromatic symmetric function of the graph. The decompositio…
Parabolic Lusztig varieties and chromatic symmetric functions
Alex Abreu, Antonio Nigro
The characters of Kazhdan--Lusztig elements of the Hecke algebra over (and in particular, the chromatic symmetric function of indifference graphs) are completely encoded in t…
A geometric approach to characters of Hecke algebras
Alex Abreu, Antonio Nigro
To any element of a connected, simply connected, semisimple complex algebraic group G and a choice of an element of the corresponding Weyl group there is an associated Lusztig vari…
An update on Haiman's conjectures
Alex Abreu, Antonio Nigro
We revisit Haiman's conjecture on the relations between characters of Kazdhan-Lusztig basis elements of the Hecke algebra over the symmetric group. The conjecture asserts that, for…