The Dedekind-Mertens formula and determinantal rings-Reference-Cited by-同舟云学术

The Dedekind-Mertens formula and determinantal rings

Published:1999 Issue:3 Volume:127 Page:657-663
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bruns Winfried,Guerrieri Anna

Abstract

We give a combinatorial proof of the Dedekind–Mertens formula by computing the initial ideal of the content ideal of the product of two generic polynomials. As a side effect we obtain a complete classification of the rank 1 1 Cohen–Macaulay modules over the determinantal rings K [ X ] / I 2 ( X ) K[X]/I_2(X) .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-03/S0002-9939-99-04535-9/S0002-9939-99-04535-9.pdf

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