A note on Hodge's postulation formula for Schubert varieties (Q2717175)

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scientific article; zbMATH DE number 1604754
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A note on Hodge's postulation formula for Schubert varieties
scientific article; zbMATH DE number 1604754

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    16 June 2002
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    Hilbert polynomial
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    Schubert cycle
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    Grassmannian
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    Hilbert function
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    A note on Hodge's postulation formula for Schubert varieties (English)
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    Let \(X\) be a Schubert cycle of a Grassmannian \(G(r,n)\). Here the author gives a combinatorial proof of Hodge's postulation formula giving the Hilbert function of \(X\) with respect to the Plücker embedding of \(G(r,n)\). The main point of the paper is to introduce algebraists to some combinatorial techniques which seem to be important in this area.NEWLINENEWLINEFor the entire collection see [Zbl 0960.00042].
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