Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Embeddings in $G(1, 3)$
HTML articles powered by AMS MathViewer

by A. Papantonopoulou PDF
Proc. Amer. Math. Soc. 89 (1983), 583-586 Request permission

Abstract:

We give a description of nonsingular surfaces of degree $d \leqslant 8$ in the Grassmannian $G(1,3)$ embedded in ${{\mathbf {P}}^5}$.
References
  • Arnaud Beauville, Surfaces algébriques complexes, Astérisque, No. 54, Société Mathématique de France, Paris, 1978 (French). Avec une sommaire en anglais. MR 0485887
  • Enrico Bombieri and Dale Husemoller, Classification and embeddings of surfaces, Algebraic geometry (Proc. Sympos. Pure Math., Vol. 29, Humboldt State Univ., Arcata, Calif., 1974) Amer. Math. Soc., Providence, R.I., 1975, pp. 329–420. MR 0506292
  • L. Ein, Nondegenerate surfaces of degree $n + 3$ in $P_C^n$, preprint.
  • Robin Hartshorne, Curves with high self-intersection on algebraic surfaces, Inst. Hautes Études Sci. Publ. Math. 36 (1969), 111–125. MR 266924, DOI 10.1007/BF02684600
  • Robin Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, No. 52, Springer-Verlag, New York-Heidelberg, 1977. MR 0463157, DOI 10.1007/978-1-4757-3849-0
  • Klaus Hulek, The normal bundle of a curve on a quadric, Math. Ann. 258 (1981/82), no. 2, 201–206. MR 641825, DOI 10.1007/BF01450535
  • David Mumford, Abelian varieties, Tata Institute of Fundamental Research Studies in Mathematics, vol. 5, Published for the Tata Institute of Fundamental Research, Bombay by Oxford University Press, London, 1970. MR 0282985
  • Masayoshi Nagata, On rational surfaces. I. Irreducible curves of arithmetic genus $0$ or $1$, Mem. Coll. Sci. Univ. Kyoto Ser. A. Math. 32 (1960), 351–370. MR 126443, DOI 10.1215/kjm/1250776405
  • Aigli Papantonopoulou, Curves in Grassmann varieties, Nagoya Math. J. 66 (1977), 121–137. MR 437551, DOI 10.1017/S0027763000017761
  • L. Roth, On surfaces of sectional genus four, Proc. Cambridge Philos. Soc. 29 (1933), 184-194.
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 14J25, 14E25, 14M15
  • Retrieve articles in all journals with MSC: 14J25, 14E25, 14M15
Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 89 (1983), 583-586
  • MSC: Primary 14J25; Secondary 14E25, 14M15
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0718977-3
  • MathSciNet review: 718977