On the Hilbert function of determinantal rings and their canonical module
نویسندگان
چکیده
منابع مشابه
On the Hilbert Function of Determinants Rings and Their Canonical Module
We determine the Hubert 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. Let AT be a field and X = (X¡j) be an m x «-matrix of indeterminates, with m < n . We denote by K[X] the polynomial ring over K in the indeterminates Xij and by Ir+x(X) the ideal in K[X] generated by the r+ 1 -minors o...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1994
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1994-1213858-0