A determinantal formula for the Hilbert series of determinantal rings of one-sided ladder.

DOI10.1016/S0021-8693(03)00223-0zbMath1099.13504OpenAlexW1996898782MaRDI QIDQ1398160

Hsin-Ju Wang

Publication date: 29 July 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8693(03)00223-0

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (2)

Computation of the a-invariant of ladder determinantal rings ⋮ Monomial and toric ideals associated to Ferrers graphs

Cites Work

• Gröbner bases and multiplicity of determinantal and Pfaffian ideals
• On lattice path counting by major index and descents
• On the computation of a-invariants
• Hilbert functions of ladder determinantal varieties
• Counting of paths and coefficients of the Hilbert polynomial of a determinantal ideal
• A remarkable formula for counting nonintersecting lattice paths in a ladder with respect to turns
• On the Hilbert Function of Determinantal Rings and Their Canonical Module
• Unnamed Item

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