On the Hilbert function of determinantal rings and their canonical module

Conca, Aldo; Herzog, Jürgen

doi:10.1090/S0002-9939-1994-1213858-0

On the Hilbert function of determinantal rings and their canonical module
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by Aldo Conca and Jürgen Herzog PDF

Proc. Amer. Math. Soc. 122 (1994), 677-681 Request permission

Abstract:

We determine the Hilbert function of a determinantal ring and of its canonical module using a combinatorial result of Krattenthaler. This gives a new proof of Abhyankar’s formula.

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