Korean J. Math.  Vol 20, No 2 (2012)  pp.
DOI: https://doi.org/10.11568/kjm.2012.20.2.

NEW CONSTRUCTION OF THE EAGON-NORTHCOTT COMPLEX

Oh-Jin Kang, Joohyung Kim

Abstract


The authors [6] introduced the concept of a complete matrix of grade g > 3 to describe a structure theorem for complete intersections of grade g > 3. We show that a complete matrix can be used to construct the Eagon-Northcott complex [7]. Moreover, we prove that it is the minimal free resolution F of a class of deter- minantal ideals of n × (n + 2) matrices X = (x_{ij} ) such that entries of each row of X = (x_{ij}) form a regular sequence and the second differential map of F is a matrix f defined by the complete matrices of grade n + 2. 


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ISSN: 1976-8605 (Print), 2288-1433 (Online)

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