A counterexample to the rigidity conjecture for rings
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Publication:3138095
DOI10.1090/S0273-0979-1993-00410-5zbMath0797.13009arXivmath/9307225WikidataQ123116708 ScholiaQ123116708MaRDI QIDQ3138095
Publication date: 13 October 1994
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9307225
Homological dimension and commutative rings (13D05) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Theory of modules and ideals in commutative rings (13C99)
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Cites Work
- Unnamed Item
- Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
- Modules over unramified regular local rings
- Modules of finite projective dimension with negative intersection multiplicities
- Divisors on varieties of complexes
- On the vanishing of Tor in regular local rings
- The vanishing of intersection multiplicities of perfect complexes