3 papers
math.AG2025
Symmetric and non-symmetric F-conjectures are equivalent
Maksym Fedorchuk, Anton Mellit
The F-conjecture gives a conjectural description of the ample cone of the Deligne-Mumford moduli space . We prove that the -symmetric and the non-symmetric…
math.CO2025
On Macdonald expansions of -chromatic symmetric functions and the Stanley-Stembridge Conjecture
Sean T. Griffin, Anton Mellit, Marino Romero +2
The Stanley-Stembridge conjecture asserts that the chromatic symmetric function of a -free graph is -positive. Recently, Hikita proved this conjecture by giving an explic…
math.CO2025
On the global dimension of Nakayama algebras
Viktória Klász, René Marczinzik, Anton Mellit +2
We study the global dimension of Nakayama algebras. In the case of linear Nakayama algebras, which are in canonical bijection to Dyck paths, we show that the global dimension has t…