English

On the Griffiths-Harris conjecture on varieties with degenerate Gauss mappings

Algebraic Geometry 2007-05-23 v2 Differential Geometry

Abstract

We exhibit examples of projective varieties with degenerate Gauss mappings and determine numerical invariants of such varieties. Our examples provide counter-examples to an asserted structure theorem of Griffiths and Harris (Ann. Sci. ENS 1979).

Keywords

Cite

@article{arxiv.math/9908079,
  title  = {On the Griffiths-Harris conjecture on varieties with degenerate Gauss mappings},
  author = {M. A. Akivis and V. V. Goldberg and J. M. Landsberg},
  journal= {arXiv preprint arXiv:math/9908079},
  year   = {2007}
}

Comments

3 pages