On the smooth locus in flat linear degenerations of flag varieties

Source abstract

We use some moment graph techniques, recently introduced by Lanini and Pütz, to provide a description of T -fixed points in the smooth locus of flat linear degenerations of flag varieties, generalizing a result proved by Cerulli Irelli, Feigin and Reineke for the Feigin degeneration. Moreover, we propose a different combinatorial criterion linking the smoothness at a fixed point to transitive tournaments.