Subcanonicity of Codimension Two Subvarieties

  • Enrique Arrondo
DOI: https://doi.org/10.5209/rev_REMA.2005.v18.n1.16713
Keywords: sub canonicity, codimension two, Grassmannians, quadrics 2000 Mathematics Sub ject Classification, 14M07

Abstract

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 con dition. The method is quite easy, and only uses Serre's construction, Porteous formula and Hodge index theorem.

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Published
2005-05-05
How to Cite
Arrondo E. (2005). Subcanonicity of Codimension Two Subvarieties. Revista Matemática Complutense, 18(1), 69-80. https://doi.org/10.5209/rev_REMA.2005.v18.n1.16713
Issue
Vol. 18 No. 1 (2005)
Section
Articles

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