20 citations · 35 across the 14 of their papers we have counts for
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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…
On moduli spaces of roots in algebraic and tropical geometry
Alex Abreu, Marco Pacini, Matheus Secco
In this paper we construct a tropical moduli space parametrizing roots of divisors on tropical curves. We study the relation between this space and the skeleton of Jarvis moduli sp…
Degree-2 Abel maps and hyperelleptic curves
Alex Abreu, Sally Andria, Marco Pacini
In this paper we resolve the degree-2 Abel map for nodal curves. Our results are based on a previous work of the authors reducing the problem of the resolution of the Abel map to a…