Hilbert functions of ladder determinantal varieties

DOI10.1016/S0012-365X(01)00256-4zbMath1008.14011MaRDI QIDQ1348145

Sudhir R. Ghorpade

Publication date: 15 May 2002

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

determinantal idealsSchubert varietiesHilbert seriesHilbert functionsdeterminantal varietiesladder determinantal varieties

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of representation theory (05E10) Linkage, complete intersections and determinantal ideals (13C40) Determinantal varieties (14M12) Grassmannians, Schubert varieties, flag manifolds (14M15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (6)

Blow-up algebras, determinantal ideals, and Dedekind-Mertens-like formulas ⋮ Computation of the a-invariant of ladder determinantal rings ⋮ A determinantal formula for the Hilbert series of determinantal rings of one-sided ladder. ⋮ A Note on a Path Counting Formula ⋮ Monomial and toric ideals associated to Ferrers graphs ⋮ Determinantal schemes and pure O-sequences

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