Every curve on a nonsingular surface can be defined by two equations
Author:
M. Boratyński
Journal:
Proc. Amer. Math. Soc. 96 (1986), 391-393
MSC:
Primary 14M10; Secondary 14C10
DOI:
https://doi.org/10.1090/S0002-9939-1986-0822425-5
MathSciNet review:
822425
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Abstract | References | Similar Articles | Additional Information
Abstract: Let 
be a smooth two-dimensional affine algebra over an algebraically closed field, and let 
be an unmixed ideal of height one in 
. Then there exist 
in 
such that 
.
- [1] Luther Claborn and Robert Fossum, Generalizations of the notion of class group, Illinois J. Math. 12 (1968), 228–253. MR 0224601
- [2] William Fulton, Rational equivalence on singular varieties, Inst. Hautes Études Sci. Publ. Math. 45 (1975), 147–167. MR 404257
- [3] Alexander Grothendieck, La théorie des classes de Chern, Bull. Soc. Math. France 86 (1958), 137–154 (French). MR 116023
- [4] M. Pavaman Murthy and Richard G. Swan, Vector bundles over affine surfaces, Invent. Math. 36 (1976), 125–165. MR 439842, https://doi.org/10.1007/BF01390007
- [5] J. P. Serre, Sur les modules projectives, Sem. Dubreil-Pisot, 1960/1961.
- [6] B. L. van der Waerden, Review, Zbl. Math. 24 (1941), 276.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1986-0822425-5
Article copyright:
© Copyright 1986
American Mathematical Society
