Seshadri constants on rational surfaces with anticanonical pencils

Autores: Taro Sano
Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 218, Nº 4, 2014, págs. 602-617
Idioma: inglés
DOI: 10.1016/j.jpaa.2013.07.007
Enlaces
- Texto completo
Resumen
- We study a Seshadri constant at a general point on a rational surface whose anticanonical linear system contains a pencil. First, we describe a Seshadri constant of an ample line bundle on such a rational surface explicitly by the numerical data of the ample line bundle.
  
  Second, we classify log del Pezzo surfaces which are special in terms of the Seshadri constants of the anticanonical divisors when the anticanonical degree is between 4 and 9.