2024/10/25 by Kalashnikov, Elana
#13A50 #14D06 #14L24 #Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2410.19961
In this paper, we show that there is a finite SAGBI basis of the coordinate ring of a Kronecker quiver moduli space, indexed by primitive semi-standard tableaux pairs. This induces a toric degeneration of the Kronecker moduli space to a normal toric variety, a generalization of the toric degeneration of the Grassmannian to the Gelfand--Cetlin polytope constructed by Gonciulea--Lakshmibai. The moment polytope of the degenerate toric variety can be described as the intersection of two Gelfand--Cetlin polytopes. We explain when this can be generalized to degenerations coming from matching fields.