Projective bundles enveloping rational conic fibrations and osculation
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2020.106429
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… read more here.
Keywords: fibrations osculation; projective bundles; enveloping rational; bundles enveloping ... See more keywords
Hilbert curves of conic fibrations over smooth surfaces
Sign Up to like & getrecommendations! Published in 2020 at "Communications in Algebra"
DOI: 10.1080/00927872.2020.1807022
Abstract: Abstract Let (X, L) be a complex polarized threefold which is a conic fibration over a smooth surface. The complex affine cubic Γ representing the Hilbert curve of (X, L) is studied, paying special attention… read more here.
Keywords: hilbert curves; fibrations smooth; conic fibrations; smooth surfaces ... See more keywords
Rational conic fibrations of sectional genus two
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Geometry"
DOI: 10.1515/advgeom-2020-0022
Abstract: Abstract Polarized rational surfaces (X, L) of sectional genus two ruled in conics are studied. When they are not minimal, they are described as the blow-up of ????1 at some points lying on distinct fibers.… read more here.
Keywords: genus two; sectional genus; fibrations sectional; conic fibrations ... See more keywords