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Conics on a general hypersurface in complex projective spaces

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In this paper we consider the existence of smooth conics on a general hypersurface of degree d in Pn.

Abstract

In this paper we consider the existence of smooth conics on a general hypersurface of degree d in Pn.

참고문헌 (5)

  1. W. Barth, "Fano varieties of lines on hypersurfaces", Arch. Math, 31(1), pp.96~104 (1978)
  2. J. Harris, "Rational curves on hypersurfaces of low degree", J. Reine Angew. Math, 571, pp.73~106 (2004)
  3. R. Hartshorne, "Algebraic Geometry, Graduate Texts in Mathematics, no. 52" (1977), Springer- Verlag
  4. S. Katz, "On the finiteness of rational curves on quintic threefolds", Compositio Math, 60(2), pp.151~162 (1986)
  5. J. Kollar, "Rational curves on algebraic varieties, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics, vol. 32" (1996), Springer- Verlag

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