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arxiv: 1303.0253 · v1 · pith:SFU23RAPnew · submitted 2013-03-01 · 🧮 math.AG

Flexibility of Schubert classes

classification 🧮 math.AG
keywords schubertclassclassesflexibilityhomogeneousirreduciblecominusculeconstructions
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In this note, we discuss the flexibility of Schubert classes in homogeneous varieties. We give several constructions for representing multiples of a Schubert class by irreducible subvarieties. We sharpen [R, Theorem 3.1] by proving that every positive multiple of an obstructed class in a cominuscule homogeneous variety can be represented by an irreducible subvariety.

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