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Stanley, Richard P.

Hilbert functions of graded algebras. (English) Zbl 0384.13012

Adv. Math. 28, 57-83 (1978).
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scan of Zbl 0384.13012

Cited in 12 Reviews
Cited in 461 Documents

MSC:

13H15 Multiplicity theory and related topics
13E05 Commutative Noetherian rings and modules
13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
14M15 Grassmannians, Schubert varieties, flag manifolds
13G05 Integral domains
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Online Encyclopedia of Integer Sequences:

Number of Gorenstein partitions of n, i.e., those partitions of n whose corresponding Schubert variety has a Gorenstein homogeneous coordinate ring, or equivalently those partitions of n which, when regarded as order ideals of PxP (where P={1,2,...}), have all maximal chains of the same length.

References:

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