Subcanonicity of codimension two subvarieties
ISSN: 1139-1138, 1988-2807
Année de publication: 2005
Volumen: 18
Número: 1
Pages: 69-80
Type: Article
D'autres publications dans: Revista matemática complutense
Résumé
We prove that smooth subvarieties of codimension two in Grassmannians of lines of dimension at least six are rationally numerically subcanonical. We prove the same result for smooth quadrics of dimension at least six under some extra condition. The method is quite easy, and only uses Serre's construction, Porteous formula and Hodge index theorem.