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.
Projective bundles enveloping rational conic fibrations and osculation / A. Lanteri, R. Mallavibarrena. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 224:12(2020 Dec), pp. 106429.1-106429.21. [10.1016/j.jpaa.2020.106429]
Projective bundles enveloping rational conic fibrations and osculation
A. Lanteri;
2020
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.
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