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Inflectional loci of quadric fibrations



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Lanteri, Antonio and Mallavibarrena Martínez de Castro, Raquel and Piene, Ragni (2015) Inflectional loci of quadric fibrations. Journal of Algebra (441). pp. 363-397. ISSN 0021-8693

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Official URL: http://www.sciencedirect.com/science/article/pii/S0021869315003221



Quadric flbrations over smooth curves are investigated with respect to their osculatory behavior. In particular, bounds for the dimensions of the osculating spaces are determined, and explicit formulas for the classes of the inflectional loci are exhibited under appropriate assumptions. Moreover, a precise description of the inflectional loci is provided in several cases. The associated projective bundle and its image in the ambient projective space of the quadric fibration, the enveloping ruled variety, play a significant role. Several examples are discussed to illustrate concretely the various situations arising in the analysis.

Item Type:Article
Uncontrolled Keywords:Quadric fibration; Inflectional locus; Jets; Principal parts bundle; Chern classes
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:33688
Deposited On:01 Dec 2015 08:43
Last Modified:01 Dec 2015 08:43

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