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Determinantal ideals without minimal free resolutions

Published online by Cambridge University Press:  22 January 2016

Mitsuyasu Hashimoto
Mitsuyasu Hashimoto*
Affiliation:
Department of Mathematics, School of Science, Nagoya University, Chikusa-ku, Nagoya 464-01, Japan
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Let R be a Noetherian commutative ring with, unit element, and Xij be variables with 1 ≤ i ≤ m and 1 ≤ j ≤ n. Let S = R[xij] be the polynomial ring over R, and It be the ideal in S, generated by the t × t minors of the generic matrix (xij) ∈ Mm, n(S). For many years there has been considerable interest in finding a minimal free resolution of S/It, over arbitrary base ring R. If we have a minimal free resolution P. over R = Z, the ring of integers, then R′ ⊗z P. is a resolution of S/It over the base ring R′.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 118 , June 1990 , pp. 203 - 216
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1990

References

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