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Higher order dual varieties of projective surfaces

Mallavibarrena Martínez de Castro, Raquel and Lanteri, Antonio (1999) Higher order dual varieties of projective surfaces. Communications in Algebra, 27 (10). pp. 4827-4851. ISSN 0092-7872

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Abstract

We investigate higher order dual varieties of projective manifolds whose osculatory behavior is the best possible, in particular, for a k-jet ample surface we prove the nondegeneratedness of the k-th dual variety and for 2-regular surfaces we investigate the degree of the second dual variety.


Item Type:Article
Uncontrolled Keywords:surface (complex projective); jet bundles; k-jet ampleness; k-regularity; duality; Scrolls; Adjunction
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:16639
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