On the height of ideals generated by matrices
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- by Joseph Becker PDF
- Proc. Amer. Math. Soc. 51 (1975), 393-394 Request permission
Abstract:
A short geometric proof of the following algebraic theorem of Buchsbaum and Rim: Let $R$ be the reduced local ring of an analytic variety and $g:{R^t} \to {R^r},t \geq r$, be a homomorphism of $R$ modules. Then the codimension of the support of the cokernel of $g \leq t - r + 1$.References
- 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
- Joseph Lipman, Free derivation modules on algebraic varieties, Amer. J. Math. 87 (1965), 874–898. MR 186672, DOI 10.2307/2373252 D. Mumford, Introduction to algebraic geometry, Harvard Univ. Press, Cambridge, Mass.
- Raghavan Narasimhan, Introduction to the theory of analytic spaces, Lecture Notes in Mathematics, No. 25, Springer-Verlag, Berlin-New York, 1966. MR 0217337
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 51 (1975), 393-394
- MSC: Primary 32B15; Secondary 13C15
- DOI: https://doi.org/10.1090/S0002-9939-1975-0385150-6
- MathSciNet review: 0385150