Ideals with Trivial Conormal Bundle
Canadian journal of mathematics, Tome 32 (1980) no. 1, pp. 210-218

Voir la notice de l'article provenant de la source Cambridge University Press

Throughout this paper all rings considered will be commutative, noetherian with identity. If R is such a ring and M is a finitely generated R-module, we shall use v(M) to denote that non-negative integer with the property that M can be generated by v(M) elements but not by fewer.Since every ideal in a noetherian ring is finitely generated, it is a natural question to ask what v(I) is for a given ideal I. Hilbert's Nullstellensatz may be viewed as the first general theorem dealing with this question, answering it when I is a maximal ideal in a polynomial ring over an algebraically closed field.More recently, it has been noticed that the properties of an R-ideal I are intertwined with those of the R-module I/I2.
Geramita, A. V.; Weibel, C. A. Ideals with Trivial Conormal Bundle. Canadian journal of mathematics, Tome 32 (1980) no. 1, pp. 210-218. doi: 10.4153/CJM-1980-016-4
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[1] 1. Altman, A. and Kleiman, S., Introduction to Grothendieck duality theory, Springer Lecture Notes in Mathematics, Vol. 146 (Springer-Verlag, Berlin-Heidelberg-New York, 1970). Google Scholar

[2] 2. Bass, H., Liberation des modules projectifs sur certains anneaux de polynômes, Springer Lecture Notes in Mathematics, Vol. 431, 228–254 (Springer-Verlag, Berlin-Heidelberg-New York, 1975). Google Scholar

[3] 3. Boratynski, M., A note on the set-theoretic complete intersection ideals, J. of Algebr. 54 (1978), 1–5. Google Scholar

[4] 4. Boratynski, M., When is an ideal generated by a regular sequence﹜ J. of Algebra 57 (1979), 236–241. Google Scholar

[5] 5. Claborn, L. and Fossum, R., Generalization of the notion of the class group, 111. J. of Math. 12 (1968), 228–253. Google Scholar

[6] 6. Davis, E. D. and Geramita, A. V., Efficient generation of maximal ideals in polynomial rings, T.A.M.S., Vol. 231 (1977), 497–504. Google Scholar

[7] 7. Ferrand, D., Suites régulières et intersection complète, C. R. Acad. Sci., Paris 264 (1967), A427–A428. Google Scholar

[8] 8. Milnor, J., Topology from the differentiable viewpoint (The University Press of Virginia, Charlottesville, 1965). Google Scholar

[9] 9. Mohan Kunar, N., On two conjectures about polynomial rings, Inventiones Mathematica. 46 (1978), 225–236. Google Scholar

[10] 10. Murthy, M. P., Complete intersections, Conference on Commutative Algebra, Queen's Papers in Pure and Applied Mathematics, No. 42 (1975), 137–154. Google Scholar

[11] 11. Quillen, D., Projective modules over polynomial rings, Inv. Math. 36 (1976), 166–172. Google Scholar

[12] 12. Serre, J.-P., Sur les modules projectif, Sem. Dubreil-Pisot (1960/61), No. 2. Google Scholar

[13] 13. Swan, R., Topological examples of projective modules, T.A.M.S. Vol. 230 (1977), 201–234. Google Scholar

[14] 14. Vasconcelos, V., Ideals generated by R-sequences, J. Alg. 6 (1967), 309–316. Google Scholar

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