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A Counterexample to the Rigidity Conjecture for Rings
Author(s):
Raymond
C.
Heitmann
Journal:
Bull. Amer. Math. Soc.
29
(1993),
94-97.
MSC (1991):
Primary 13C99, 18G15;
Secondary 13D25, 13H99
MathSciNet review:
1197425
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Additional information
References:
- [1]
- M. Auslander, Modules over unramified regular local rings, Illinois J. Math. \textbf{5} (1961), 631--645. MR 179211
- [2]
- W. Bruns, Divisors on varieties of complexes, Math. Ann. \textbf{264} (1983), 53--71. MR 709861
- [3]
- S. Dutta, M. Hochster, and J. McLaughlin, Modules of finite projective dimension with negative intersection multiplicities, Invent. Math. \textbf{79} (1985), 253--291. MR 778127
- [4]
- M. Hochster, \emph{Topics in the homological theory of modules over commutative rings}, Amer. Math. Soc., Providence, RI, 1975. MR 371879
- [5]
- S. Lichtenbaum, On the vanishing of \RM {Tor} in regular local rings, Illinois J. Math. \textbf{10} (1966), 220--226. MR 188249
- [6]
- C. Peskine and L. Szpiro, Dimension projective finie et cohomologie locale, Inst. Hautes \'Etudes Sci. Publ. Math. \textbf{42} (1973), 47--119. MR 374130
- [7]
- P. Roberts, The vanishing of intersection multiplicities of perfect complexes, Bull. Amer. Math. Soc. \textbf{13} (1985), 127--130. MR 799793
- [8]
- P. Roberts, \emph{Intersection theorems}, Springer-Verlag, New York, 1989 pp.~417--436. MR 1015532
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Additional Information:
DOI:
10.1090/S0273-0979-1993-00410-5
PII:
S 0273-0979(1993)00410-5
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