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.

Rational conic fibrations sectional genus two / A. Lanteri, R. Mallavibarrena. - In: ADVANCES IN GEOMETRY. - ISSN 1615-715X. - 21:2(2021 May), pp. 281-292. [10.1515/advgeom-2020-0022]

Rational conic fibrations sectional genus two

A. Lanteri
Primo
;
2021

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.
Rational conic fibration; ample divisor; secional genus; inflection point
Settore MAT/03 - Geometria
mar-2021
Article (author)
File in questo prodotto:
File Dimensione Formato  
LaMa_RCFg=2_Rev.pdf

Open Access dal 02/06/2022

Tipologia: Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione 346 kB
Formato Adobe PDF
346 kB Adobe PDF Visualizza/Apri
10.1515_advgeom-2020-0022.pdf

accesso riservato

Tipologia: Publisher's version/PDF
Dimensione 639.67 kB
Formato Adobe PDF
639.67 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/890980
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact