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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… Click to show full 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. Ampleness and very ampleness of L are studied in terms of their location. When L is very ample and there is a line contained in X and transverse to the fibers, the conic fibrations (X, L) are classified and a related property concerned with the inflectional locus is discussed.
Keywords:
genus two;
sectional genus;
fibrations sectional;
conic fibrations;
rational conic
Journal Title: Advances in Geometry
Year Published: 2020
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Journal Title: Advances in Geometry
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!