2024/01/12 by Kim, Shin-young, Lee, Eunjeong
#14J45 #14M15 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Primary: 14M25 #Secondary: 05A05
paper · doi:10.48550/arxiv.2401.06317
A partial flag variety is a smooth projective homogeneous variety admitting an action of a maximal torus T. Schubert varieties are T-invariant subvarieties of the partial flag varieties. We study toric Schubert varieties in Grassmannian varieties with respect to the action of the torus T. Indeed, we present an explicit description of the fan of a Gorenstein toric Schubert variety in a Grassmannian, and we prove that any Gorenstein toric Schubert variety in a Grassmannian variety is Fano.