Homotopy equivalence of two families of complexes
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- by Giandomenico Boffi and David A. Buchsbaum PDF
- Trans. Amer. Math. Soc. 356 (2004), 3077-3107 Request permission
Abstract:
An explicit homotopy equivalence is established between two families of complexes, both of which generalize the classical Koszul complex.References
- Kaan Akin, David A. Buchsbaum, and Jerzy Weyman, Schur functors and Schur complexes, Adv. in Math. 44 (1982), no. 3, 207–278. MR 658729, DOI 10.1016/0001-8708(82)90039-1
- David A. Buchsbaum, A generalized Koszul complex. I, Trans. Amer. Math. Soc. 111 (1964), 183–196. MR 159859, DOI 10.1090/S0002-9947-1964-0159859-0
- David A. Buchsbaum and Dock S. Rim, A generalized Koszul complex. II. Depth and multiplicity, Trans. Amer. Math. Soc. 111 (1964), 197–224. MR 159860, DOI 10.1090/S0002-9947-1964-0159860-7
- David A. Buchsbaum and Dock Sang Rim, A generalized Koszul complex. III. A remark on generic acyclicity, Proc. Amer. Math. Soc. 16 (1965), 555–558. MR 177020, DOI 10.1090/S0002-9939-1965-0177020-7
- David A. Buchsbaum and David Eisenbud, Generic free resolutions and a family of generically perfect ideals, Advances in Math. 18 (1975), no. 3, 245–301. MR 396528, DOI 10.1016/0001-8708(75)90046-8
- J. A. Eagon and D. G. Northcott, Ideals defined by matrices and a certain complex associated with them, Proc. Roy. Soc. London Ser. A 269 (1962), 188–204. MR 142592, DOI 10.1098/rspa.1962.0170
- E. Gover. Generalized local complete intersections Thesis, Brandeis University (1970).
- Steven Kleiman and Anders Thorup, A geometric theory of the Buchsbaum-Rim multiplicity, J. Algebra 167 (1994), no. 1, 168–231. MR 1282823, DOI 10.1006/jabr.1994.1182
- Steven Kleiman and Anders Thorup, Mixed Buchsbaum-Rim multiplicities, Amer. J. Math. 118 (1996), no. 3, 529–569. MR 1393259, DOI 10.1353/ajm.1996.0026
Additional Information
- Giandomenico Boffi
- Affiliation: Dipartimento di Scienze, Università “G. d’Annunzio”, Viale Pindaro 42, 65127 Pescara, Italy
- Email: gboffi@unich.it
- David A. Buchsbaum
- Affiliation: Department of Mathematics, Brandeis University, Waltham, Massachusetts 02254
- Email: buchsbau@brandeis.edu
- Received by editor(s): January 15, 2003
- Published electronically: February 4, 2004
- © Copyright 2004 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 356 (2004), 3077-3107
- MSC (2000): Primary 13D25
- DOI: https://doi.org/10.1090/S0002-9947-04-03517-2
- MathSciNet review: 2052942