Explicit linear minimal free resolutions over a naturalclass of Rees algebras |
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Authors: | J. Herzog L. O’Carroll D. Popescu |
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Affiliation: | (1) Fachbereich Mathematik, Universität-GHS Essen, 45117 Essen, Germany;(2) Department of Mathematics and Statistics, University of Edinburgh, EH9 3JZ Edinburgh, Scotland;(3) Institute of Mathematics, University of Bucharest, P.O. Box 1-764, 70700 Bucharest, Romania |
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Abstract: | Homological properties of the Rees algebra Rof a Koszul K-algebra A over a field K, with respect to the maximal homogeneous ideal, are studied. In particular, for a finitely generated gradedA-module Nwith linear minimal free R-resolution over A, the minimal free resolution of is explicitly constructed. This resolution is again linear.Received: 23 October 2000 |
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Keywords: | 13D02 13C13 13A02 |
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