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1 results

  • On the Gauss maps of singular projective varieties

  • Part of
  • E. Ballico
  • Journal:
    Journal of the Australian Mathematical Society / Volume 72 / Issue 1 / February 2002
    Published online by Cambridge University Press:
    09 April 2009, pp. 119-130
    Print publication:
    February 2002
    • Article
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  • Here we study the dimension δ(m, X) of the general fibers of the m-Gaussian map of a singular n-dimensional variety X ⊂ Pn. We show that for all integers a, b, c, d with n ≦ a < b ≦ c < d ≦ N − 1 and a + d = b + c we have δ (a, X) + δ(d, X) > δ(b, X) + δ(c, X). If δ(X, N − 1) is very large we give some classification results which extend to the singular case some results of Ein.