The study of the interplay between rational conic fibrations and their enveloping projective bundles is carried on to cover the sectional genus three case. Moreover, a complete description of rational conic fibrations containing a line or a conic or a smooth twisted cubic transverse to the fibers is provided, and the rank of the third jet map at all points lying on such a curve is evaluated.
Some properties of rational conic fibrations / A. Lanteri, R. Mallavibarrena. - In: BEITRAGE ZUR ALGEBRA UND GEOMETRIE. - ISSN 0138-4821. - (2021). [Epub ahead of print] [10.1007/s13366-020-00555-y]
Some properties of rational conic fibrations
A. LanteriPrimo
;
2021
Abstract
The study of the interplay between rational conic fibrations and their enveloping projective bundles is carried on to cover the sectional genus three case. Moreover, a complete description of rational conic fibrations containing a line or a conic or a smooth twisted cubic transverse to the fibers is provided, and the rank of the third jet map at all points lying on such a curve is evaluated.
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