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Projective bundles enveloping rational conic fibrations and osculation

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Abstract Motivated by previous research on the osculation for special varieties, we investigate rational conic fibrations in connection with their enveloping projective bundles with the aim of comparing their inflectional… Click to show full abstract

Abstract Motivated by previous research on the osculation for special varieties, we investigate rational conic fibrations in connection with their enveloping projective bundles with the aim of comparing their inflectional loci. Specific existence results for such pairs are established. As a consequence, the possible various numerical characters of the pairs involved for low values of the sectional genus are determined.

Keywords: fibrations osculation; projective bundles; enveloping rational; bundles enveloping; conic fibrations; rational conic

Journal Title: Journal of Pure and Applied Algebra
Year Published: 2020

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