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arXiv:1509.04935 [math.AG]AbstractReferencesReviewsResources

Higher Gauss Maps of Veronese Varieties

Hajime Kaji

Published 2015-09-16Version 1

The image of the higher Gauss map for a projective variety is discussed. The notion of higher Gauss maps here was introduced by Fyodor L. Zak as a generalization of both ordinary Gauss maps and conormal maps. The main result is a closed formula for the degree of those images for Veronese varieties. This yields a generalization of a classical formula by George Boole on the degree of the dual varieties of Veronese varieties.

Categories: math.AG
Subjects: 14N05
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