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 $R$ be a smooth two-dimensional affine algebra over an algebraically closed field, and let $I$ be an unmixed ideal of height one in $R$. Then there exist $a,b$ in $I$ such that ${\text {rad}}(I) = {\text {rad}}(a,b)$.
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- M. Pavaman Murthy and Richard G. Swan, Vector bundles over affine surfaces, Invent. Math. 36 (1976), 125–165. MR 439842, DOI https://doi.org/10.1007/BF01390007 J. P. Serre, Sur les modules projectives, Sem. Dubreil-Pisot, 1960/1961. B. L. van der Waerden, Review, Zbl. Math. 24 (1941), 276.
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Article copyright:
© Copyright 1986
American Mathematical Society
