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Inflectional loci of quadric fibrations

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

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


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Resumen

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.


Tipo de documento:Artículo
Palabras clave:Quadric fibration; Inflectional locus; Jets; Principal parts bundle; Chern classes
Materias:Ciencias > Matemáticas > Geometria algebraica
Código ID:33688
Depositado:01 Dic 2015 08:43
Última Modificación:01 Dic 2015 08:43

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