20 citations · 35 across the 14 of their papers we have counts for
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math.CO2023
A Torelli theorem for graphs via quasistable divisors
Alex Abreu, Marco Pacini
The Torelli theorem establishes that the Jacobian of a smooth projective curve, together with the polarization provided by the theta divisor, fully characterizes the curve. In the…
math.AG2023
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…
math.AG2023
Wall-crossing of universal Brill-Noether classes
Alex Abreu, Nicola Pagani
We give an explicit graph formula, in terms of decorated boundary strata classes, for the wall-crossing of universal Brill-Noether classes. More precisely, fix n>0 and d<g , and tw…