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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on quadrics through an algebraic curve
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by Fernando Serrano PDF
Proc. Amer. Math. Soc. 102 (1988), 451-454 Request permission

Abstract:

In this note we describe the intersection of all quadric hypersurfaces containing a given linearly normal smooth projective curve of genus $n$ and degree $2n + 1$.
References
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  • Mark Green and Robert Lazarsfeld, On the projective normality of complete linear series on an algebraic curve, Invent. Math. 83 (1986), no. 1, 73–90. MR 813583, DOI 10.1007/BF01388754
  • Joe Harris, A bound on the geometric genus of projective varieties, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 8 (1981), no. 1, 35–68. MR 616900
  • Paolo Maroscia and Wolfgang Vogel, On the defining equations of points in general position in $\textbf {P}^{n}$, Math. Ann. 269 (1984), no. 2, 183–189. MR 759108, DOI 10.1007/BF01451418
  • B. Saint-Donat, Sur les équations définissant une courbe algébrique, C. R. Acad. Sci. Paris Ser. A 274 (1972), 324-327 and 487-489.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 102 (1988), 451-454
  • MSC: Primary 14J26; Secondary 14H45
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0928958-7
  • MathSciNet review: 928958