99
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

The Varieties of Tangent Lines to Hypersurfaces in Projective Spaces

Pages 3716-3725 | Received 10 Feb 2009, Published online: 11 Sep 2012

REFERENCES

  • Altman , A. , Kleiman , S. ( 1977 ). Foundations of the theory of Fano schemes . Compos. Math. 34 : 3 – 47 .
  • Barth , W. , Van de Ven , A. ( 1978 ). Fano-Varieties of lines on hypersurfaces . Arch. Math. (Basel) 31 : 96 – 104 .
  • Clemens , H. , Griffiths , P. (1972). The intermediate Jacobian of the cubic threefold. Ann. of Math. 95(2):281–356.
  • Hartshorne , R. ( 1977 ). Algebraic Geometry . Springer-Verlag, GTM 52 .
  • Ikeda , A. ( 2008 ). The varieties of intersections of lines and hypersurfaces in projective spaces . Higher Dimensional Algebraic Varieties and Vector Bundles. RIMS Kkyroku Bessatsu B9 : 115 – 125 .
  • Kollár , J. ( 1996 ). Rational Curves on Algebraic Varieties . Springer-Verlag, Ergebnisse der Math. 32 ( 3 ).
  • Tjurin , A. ( 1971 ). The geometry of the Fano surface of a nonsingular cubic F ⊂ P 4 and Torelli theorems for Fano surface and cubics . Math. USSR Izv. 5 : 517 – 546 .
  • Communicated by L. Ein.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.