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Homotopy equivalence of two families of complexes
Author(s):
Giandomenico
Boffi;
David
A.
Buchsbaum
Journal:
Trans. Amer. Math. Soc.
356
(2004),
3077-3107.
MSC (2000):
Primary 13D25
Posted:
February 4, 2004
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Abstract:
An explicit homotopy equivalence is established between two families of complexes, both of which generalize the classical Koszul complex.
References:
-
- 1.
- K. Akin, D. A. Buchsbaum and J. Weyman. Schur functors and Schur complexes. Advances in Math. 44 (1982), 207-278. MR 84c:20021
- 2.
- D. A. Buchsbaum. A generalized Koszul complex, I. Trans. Amer. Math. Soc. 111 (1964), 183-196. MR 28:3075
- 3.
- D. A. Buchsbaum and D. S. Rim. A generalized Koszul complex, II. Depth and multiplicity. Trans. Amer. Math. Soc. 111 (1964), 197-224. MR 28:3076
- 4.
- D. A. Buchsbaum and D. S. Rim. A generalized Koszul complex, III. Proc. Amer. Math. Soc. 16 (1965), 555-558. MR 31:1285
- 5.
- D. A. Buchsbaum and D. Eisenbud. Generic free resolutions and a family of generically perfect ideals. Advances in Math. 18 (1975), 245-301. MR 53:391
- 6.
- J. 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 26:161
- 7.
- E. Gover. Generalized local complete intersections Thesis, Brandeis University (1970).
- 8.
- S. Kleiman and A. Thorup. A geometric theory of the Buchsbaum-Rim multiplicity. J. Algebra 167 (1994), 168-231. MR 96a:14007
- 9.
- S. Kleiman and A. Thorup. Mixed Buchsbaum-Rim multiplicities. Amer. J. Math. 118 (1996), 529-569. MR 98g:14008
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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
DOI:
10.1090/S0002-9947-04-03517-2
PII:
S 0002-9947(04)03517-2
Received by editor(s):
January 15, 2003
Posted:
February 4, 2004
Copyright of article:
Copyright
2004,
American Mathematical Society
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