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math.AC2001
A determinantal formula for the Hilbert series of one-sided ladder determinantal rings
Christian Krattenthaler, Martin Rubey
We give a formula that expresses the Hilbert series of one-sided ladder determinantal rings, up to a trivial factor, in form of a determinant. This allows the convenient computatio…
math.AC2001
The Hilbert Series of Pfaffian Rings
Sudhir R. Ghorpade, Christian Krattenthaler
We give three determinantal expressions for the Hilbert series as well as the Hilbert function of a Pfaffian ring, and a closed form product formula for its multiplicity. An append…