Subcanonicity of codimension two subvarieties

• Autores: Enrique Arrondo Esteban
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 18, Nº 1, 2005, págs. 69-80
• Idioma: inglés
• DOI: 10.5209/rev_rema.2005.v18.n1.16713
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• Resumen

  • 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.