Note on Resulution of Singularities of Embedded Algebraic Varieties.
Bronislaw Wajnryb (1981)
Mathematische Annalen
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Bronislaw Wajnryb (1981)
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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...
Theo de Jong (1988)
Mathematische Zeitschrift
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