Points not as hyperplane sections of projectively normal curves
Author:
Edoardo Ballico
Journal:
Proc. Amer. Math. Soc. 112 (1991), 343346
MSC:
Primary 14H45; Secondary 14M05
MathSciNet review:
1052870
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References 
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Abstract: Here we show for many (with ) that the general set formed by points in is not the hyperplane section of an integral projectively normal curve in .
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Edoardo
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 [B]
 E. Ballico, Generators for the homogeneous ideal of general points in , J. Algebra 106 (1987), 4652. MR 878467 (88b:14036)
 [BM]
 E. Ballico and J. Migliore, Smooth curves whose hyperplane section is a given set of points, Comm. Algebra 18 (1990), 30153040. MR 1063348 (91h:14034)
 [CO]
 L. Chiantini and F. Orecchia, Plane sections of arithmetically normal curves in , Algebraic Curves and Projective Geometry, Lecture Notes in Math., vol. 1389, SpringerVerlag, pp. 3242. MR 1023388 (90j:14038)
 [E]
 L. Ein, D. Eisenbud, and S. Katz, Varieties cut out by quadrics: Scheme theoretic versus homogeneous generation of ideals, Algebraic Geometry: Sundance 1986, Lecture Notes in Math., vol. 1311, SpringerVerlag, pp. 5170. MR 951640 (89f:14029)
 [H1]
 J. Harris, Galois groups of enumerative problems, Duke Math. J. 46 (1979), 685724. MR 552521 (80m:14038)
 [H2]
 J. Harris with D. Eisenbud, Curves in a projective space, Les Presses de l'Université de Montréal, 1982.
 [HA]
 R. Hartshorne, Algebraic geometry, Graduate Texts in Math., vol. 52, SpringerVerlag, 1977. MR 0463157 (57:3116)
 [K]
 J. Kleppe, Deformations of graded algebras and of projective schemes of nests. Applications to the Hilbert scheme of curves in space, Thesis, Oslo University, 1981.
 [R]
 J. Rathmann, The uniform position principle for curves in characteristic , Math. Ann. 276 (1987), 565579. MR 879536 (89g:14026)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939199110528709
PII:
S 00029939(1991)10528709
Keywords:
Hyperplane section,
projective normal curve,
arithmetically CohenMacaulay curve,
normal sheaf
Article copyright:
© Copyright 1991
American Mathematical Society
