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On inflection points, monomial curves, and hypersurfaces containing projective curves

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References

  1. Bresinsky, H.: Monomial Buchsbaum ideals in ℙr. Manuscr. Math.47, 105–132 (1984)

    Google Scholar 

  2. Buchweitz, R. O.: On Zariski's criterion for equisingularity and non-smoothable monomial curves. Thèse, Paris VII (1981).

  3. Ciliberto, C.: Hilbert functions of finite sets of points and the genus of a curve in a projective space. In: Ghione, F., Peskine, Ch., and Sernesi, E. (Eds.). Space curves (Lect. Notes Math.1266), 24–73 (1987). Berlin Heidelberg New York: Springer Verlag

    Google Scholar 

  4. Campillo, A., Pisón, P.: L'idéal d'un semi-groupe de type fini. C. R. Acad. Sci. Paris, I. Sér.316, 1303–1306 (1993)

    Google Scholar 

  5. Eisenbud, D., Harris, J.: Divisors on general curves and cuspidal rational curves. Invent. Math.74, 371–418 (1983)

    Google Scholar 

  6. Fano, G.: Sopra le curve di dato ordine e dei massimi generi in uno spazio qualunque. Mem Accad. Sci. Torino44, 335–382 (1894)

    Google Scholar 

  7. Fujita, T.: On polarized varieties of small Δ-genera. Tôhoku Math. J.34, 319–341 (1982)

    Google Scholar 

  8. Griffiths, Ph., Harris, J.: Principles of algebraic geometry. New York Chichester Brisbane Toronto: John Wiley & Sons 1978

    Google Scholar 

  9. Gruson, L., Lazarsfeld, R., Peskine, C.: On a theorem of Castelnuovo and equations defining space curves. Invent. Math.72, 491–506 (1983)

    Google Scholar 

  10. Harris, J.: A bound on the geometric genus of projective varieties. Ann. Sc. Norm. Sup. Pisa Cl. Sci., IV. Ser.8, 35–68 (1981)

    Google Scholar 

  11. Harris, J., with the collaboration of Eisenbud, D.: Curves in projective space. Montréal: Les Presses de l'Université de Montréal 1982

    Google Scholar 

  12. Herzog, J.: Generators and relations of Abelian semigroups and semigroup rings. Manuscr. Math.3, 175–193 (1970)

    Google Scholar 

  13. Hoa, L. T.: On monomialk-Buchsbaum curves in ℙ3. Manuscr. Math.73, 423–436 (1991)

    Google Scholar 

  14. Khovanskiî, A. G.: The Newton polytope, the Hilbert polynomial, and sums of finite sets. Funkts. Anal. Prilozh.26, No. 4, 57–63 (1992) [in Russian], English translation: Funct. Anal. Appl.26, no.4, 276–281 (1992)

    Google Scholar 

  15. Landsberg, J. M.: Differential-Geometric Characterizations of Complete Intersections. J. Differ. Geom., to appear (alg-geom/9407002 eprint).

  16. Mumford, D.: Lectures on curves on an algebraic surface (Ann. of Math. Studies, 59) Princeton: Princeton Univ. Press 1966

    Google Scholar 

  17. Zak, F. L.: Higher secant varieties of Veronese embeddings (unpublished).

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Research supported in part by grant MSC300 from ISF and the Russian government and by grant 95-01-00364 from RBRF

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L'vovsky, S. On inflection points, monomial curves, and hypersurfaces containing projective curves. Math. Ann. 306, 719–735 (1996). https://doi.org/10.1007/BF01445273

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