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On the Gauss maps of singular projective varieties
Published online by Cambridge University Press: 09 April 2009
Abstract
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.
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- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 72 , Issue 1 , February 2002 , pp. 119 - 130
- Copyright
- Copyright © Australian Mathematical Society 2002
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