TORIC SCHUBERT VARIETIES IN GRASSMANNIANS

초록

A partial flag variety is a smooth projective homogeneous variety admitting an action of a maximal torus T. Schubert varieties form an interesting family of T-invariant subvarieties of the partial flag varieties. We study toric Schubert varieties in Grassmannians with respect to the action of a quotient of the torus T. Indeed, we present an explicit description of the fan of a toric Schubert variety in a Grassmannian, and as a corollary, we show that any Gorenstein toric Schubert variety in a Grassmannian is Fano.

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