Monomial space curves in $\textbf {P}^ 3_ k$ as binomial set theoretic complete intersections
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- by Apostolos Thoma PDF
- Proc. Amer. Math. Soc. 107 (1989), 55-61 Request permission
Abstract:
We give a necessary and sufficient condition for monomial curves in $P_k^3$ to be set theoretic complete intersections on a binomial surface. Using this condition, we prove that the twisted cubic curve is the only smooth monomial curve which is a set theoretic complete intersection on a binomial surface, in characteristic zero.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 55-61
- MSC: Primary 14M10
- DOI: https://doi.org/10.1090/S0002-9939-1989-0976361-7
- MathSciNet review: 976361