Displaying similar documents to “Orbit-cone correspondence for the proalgebraic completion of normal toric varieties”

Schubert varieties and representations of Dynkin quivers

Grzegorz Bobiński, Grzegorz Zwara (2002)

Colloquium Mathematicae

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We show that the types of singularities of Schubert varieties in the flag varieties Flagₙ, n ∈ ℕ, are equivalent to the types of singularities of orbit closures for the representations of Dynkin quivers of type 𝔸. Similarly, we prove that the types of singularities of Schubert varieties in products of Grassmannians Grass(n,a) × Grass(n,b), a, b, n ∈ ℕ, a, b ≤ n, are equivalent to the types of singularities of orbit closures for the representations of Dynkin quivers of type 𝔻. We also...