Certain complexes associated to a sequence and a matrix

manuscripta mathematica - Tập 12 - Trang 217-248 - 1974
Jürgen Herzog1
1Fachbereich Mathematik der Universität Regensburg, Regensburg

Tóm tắt

Let R be a commutative noetherian ring with unit. To a sequencex:=x1,...,xn of elements of R and an m-by-n matrix α:=(αij) with entries in R we assign a complex D*(x;α), in case that m=n or m=n−1. These complexes will provide us in certain cases with explicit minimal free resolutions of ideals, which are generated by the elements ai:=∑αijxj and the maximal minors of α.

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manuscripta mathematica

Tập 12

217-248

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