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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

On the Hilbert function of determinantal rings and their canonical module


Authors: Aldo Conca and Jürgen Herzog
Journal: Proc. Amer. Math. Soc. 122 (1994), 677-681
MSC: Primary 13C40; Secondary 13D40, 13F50, 13H10
MathSciNet review: 1213858
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1213858-0
PII: S 0002-9939(1994)1213858-0
Article copyright: © Copyright 1994 American Mathematical Society