Set-theoretic complete intersections

Author:
T. T. Moh

Journal:
Proc. Amer. Math. Soc. **94** (1985), 217-220

MSC:
Primary 14M10; Secondary 14H45

MathSciNet review:
784166

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Abstract: In this article we establish that:

(1) Every monomial curve in is a set-theoretic complete intersection, where is a field of characteristic (and thus generalize a result of R. Hartshorne [**3**]).

(2) Let be an algebraically closed field of characteristic and a curve of . If there is a linear projection with center of disjoint of , is birational to and has only cusps as singularities, then is a set-theoretic complete intersection (and thus generalize a result of D. Ferrand [**2**]).

**[1]**R. C. Cowsik and M. V. Nori,*Affine curves in characteristic 𝑝 are set theoretic complete intersections*, Invent. Math.**45**(1978), no. 2, 111–114. MR**0472835****[2]**Daniel Ferrand,*Set-theoretical complete intersections in characteristic 𝑝>0*, Algebraic geometry (Proc. Summer Meeting, Univ. Copenhagen, Copenhagen, 1978), Lecture Notes in Math., vol. 732, Springer, Berlin, 1979, pp. 82–89. MR**555692****[3]**Robin Hartshorne,*Complete intersections in characteristic 𝑝>0*, Amer. J. Math.**101**(1979), no. 2, 380–383. MR**527998**, 10.2307/2373984

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DOI:
http://dx.doi.org/10.1090/S0002-9939-1985-0784166-1

Article copyright:
© Copyright 1985
American Mathematical Society