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The number of equations needed to define an algebraic set
Author(s):
Gennady
Lyubeznik
Journal:
Bull. Amer. Math. Soc.
19
(1988),
273-276.
MSC (1985):
Primary 14C99, 14M10, 14C25;
Secondary 13B25, 13C10
MathSciNet review:
940486
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Additional information
References:
- [Bo] M. Boratynski, A note on set-theoretic complete intersection ideals, J. Algebra 54 (1978), 1-5. MR 511453
- [CN] R. C. Cowsik and M. V. Nori, Affine curves in characteristic p are set-theoretic complete intersections, Invent. Math. 45 (1978), 111-114. MR 472835
- [EE] D. Eisenbud and E. G. Evans, Every algebraic set in n-space is the intersection of n hypersurfaces, Invent. Math. 19 (1973), 107-112. MR 327783
- [Fe] D. Ferrand, Courbes gauches et fibres de rang 2, C. R. Acad. Sci. Paris 281 (1975), 345-347. MR 379517
- [Fu] W. Fulton, Intersection theory, Springer-Verlag, 1984. MR 732620
- [FL] W. Fulton and S. Lang, Riemann-Roch algebra, Springer-Verlag, 1985. MR 801033
- [Kr] L. Kronecker, Grundzüge einer arithmetischen Theorie der algebraischen Grossen, J. Reine Angew. Math. 92 (1882), 1-23.
- [MK] N. Mohan Kumar, On two conjectures about polynomial rings, Invent. Math. 46 (1978), 225-236. MR 499785
- [Mu1] P. Murthy, Complete intersections, Conference on Commutative Algebra, Queen's Papers Pure Appl. Math. 42 (1975), 196-211. MR 396591
- [Mu2] P. Murthy, Zero-cycles, splitting of projective modules and number of generators of a module, Bull. Amer. Math. Soc. 19 (1988), 315-317. MR 940495
- [St] U. Storch, Bemerkung zu einem Satz von M. Kneser, Arch. Math. 23 (1972), 403-404. MR 321921
- [Su] A. Suslin, A cancellation theorem for projective modules over algebras, Soviet Math. Dokl. 18, no. 5 (1977), 1281-1284.
- [Sz] L. Szpiro, Lectures on equations defining space curves, Tata Inst. Fund. Research, Bombay; Springer-Verlag, 1979. MR 572085
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Additional Information:
DOI:
10.1090/S0273-0979-1988-15638-8
PII:
S 0273-0979(1988)15638-8
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