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2005•Revista Matemática ComplutenseOpen access

Subcanonicity of Codimension Two Subvarieties

Enrique Arrondo

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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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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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Available 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.

Key concepts: Codimension, Mathematics, Dimension (graph theory), Pure mathematics, Algebra over a field, Mathematical analysis

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