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Taylor complexes for Koszul boundaries |
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| Authors: | Jürgen Herzog Y Kamoi |
| Institution: | FB6 Mathematik und Informatik, Universit?t GH-Essen, D-45117 Essen, Germany. e-mail: mat300@uni-essen.de, DE Department of Mathematics, Tokyo Metropolitan University, Minamiohsawa 1-1, Hachioji-shi, Tokyo 192-03, Japan. e-mail: kamoi@math.metro-u.ac.jp, JP |
| Abstract: | For all boundary modules of the Koszul complex of a monomial sequence we construct complexes, which we call Taylor complexes. For a monomial d-sequences these complexes provide free resolutions of the boundary modules. Let M be the ideal generated by a monomial d-sequence. We use the Taylor complexes to construct minimal free resolutions of the Rees algebra and the associated graded ring of M. Received: 13 November 1997 / Revised version: 6 March 1998 |
| Keywords: | Mathematics Subject Classification (1991):Primary: 13D25 13D02 Secondary: 13C13 |
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