33
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

On High Gk−1,k-Defective Varieties

Pages 2600-2610 | Received 16 Dec 2005, Published online: 14 Aug 2007

REFERENCES

  • Arbarello , E. , Cornalba , M. , Griffith , P. A. , Harris , J. ( 1985 ). Geometry of Algebraic Curves . Vol. I . Grundlehren der Mathematischen Wissenschaften. Vol. 267 . Springer-Verlag .
  • Carlini , C. , Chipalkatti , J. ( 2003 ). On Waring's problem for several algebraic forms . Comment. Math. Helv. 78 : 494 – 517 .
  • Chiantini , L. , Ciliberto , C. ( 2001 ). Weakly defective varieties . Trans. Amer. Soc. 354 : 151 – 178 .
  • Chiantini , L. , Coppens , M. ( 2001 ). Grassmannians of secant varieties . Forum Math. 13 : 615 – 628 .
  • Chiantini , L. , Ciliberto , C. ( 2002 ). The Grassmannians of secant varieties of curves are not defective . Indag. Math. 13 : 23 – 28 .
  • Ciliberto , C. ( 2000/2001 ). Geometric Aspects of Polynomial Interpolation in More Variables and of Waring's Problem . European Congress of Mathematics, Barcelona, Vol. I. Progress in Mathematics . Vol. 201 . Birkhauser , pp. 289 – 316 .
  • Cools , F. ( 2005 ). On G k−1,k -defectivity of smooth surfaces and threefolds . J. Pure and Applied Alg. 203 : 204 – 219 .
  • Coppens , M. ( 2004 ). Smooth threefolds with G 2,3-defect . Int. J. of Math. 15 ( 7 ): 651 – 671 .
  • Eisenbud , D. , Harris , J. ( 1987 ). On varieties of minimal degree . In: Algebraic Geometry , Bowdoin 1985, Proceedings of Symposia in Pure Mathematics . Vol. 46 . American Mathematical Society , Providence , pp. 3 – 14 .
  • Griffiths , Ph. , Harris , J. ( 1978 ). Principles of Algebraic Geometry . Wiley Interscience Publ.
  • Fontanari , C. ( 2002 ). On Waring's problem for many forms and Grassmann defective varieties . J. Pure and Applied Alg. 74 ( 3 ): 243 – 247 .
  • Fujita , T. ( 1990 ). Classifiaction Theories of Polarized Varieties . London Math. Soc. Lecture Note Series . Vol. 155 . Cambridge University Press .
  • Rogora , E. ( 1994 ). Varieties with many lines . Manus. Math. 82 : 207 – 226 .
  • Zak , F. ( 1993 ). Tangents and secants of algebraic varieties . Translations of Mathematical Monographs . 127 .
  • 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.