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Toric degenerations and vector bundles

Author(s): Joseph Gubeladze
Journal: Proc. Amer. Math. Soc. 127 (1999), 3493-3494.
MSC (1991): Primary 13D15, 19A49
Posted: May 17, 1999
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Abstract: There are many affine subalgebras of polynomial rings with highly non-trivial projective modules, whose initial algebras (toric degenerations) are still finitely generated and have all projective modules free.

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H. Bass, Algebraic $K$-theory, W. A. Benjamin, Inc., 1968. MR 40:2736

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J. Gubeladze, Nontriviality of $SK_1(R[M])$, J. Pure Appl. Alg. 104 (1995), 169-190. MR 96j:19002

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Additional Information:

Joseph Gubeladze
Affiliation: A. Razmadze Mathematical Institute, Alexidze St. 1, 380093 Tbilisi, Georgia
Email: gubel@rmi.acnet.ge

DOI: 10.1090/S0002-9939-99-05009-1
PII: S 0002-9939(99)05009-1
Received by editor(s): February 20, 1998
Posted: May 17, 1999
Additional Notes: This research was supported in part by the Alexander von Humboldt Foundation and CRDF grant \#GM1-115.
Communicated by: Wolmer V. Vasconcelos
Copyright of article: Copyright 1999, American Mathematical Society

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