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Evidence to subcanonicity of codimension two subvarieties of G(1,4)

Arrondo Esteban, Enrique and Fania, Maria Lucia (2006) Evidence to subcanonicity of codimension two subvarieties of G(1,4). International journal of mathematics, 17 (2). pp. 157-168. ISSN 0129-167X

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Abstract

In this paper, we show that any smooth subvariety of codimension two in G(1,4) (the Grassmannian of lines of P-4) of degree at most 25 is subcanonical. Analogously, we prove that smooth subvarieties of codimension two in G(1,4) that are not of general type have degree <= 32 and we classify all of them. In both classifications, any subvariety in the final list is either a complete intersection or the zero locus of a section of a twist of the rank-two universal bundle on G(1,4).

Item Type:Article
Uncontrolled Keywords:Projective space; smooth surfaces; general type; Grassmannians; P-4
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:14820
Deposited On:18 Apr 2012 08:57
Last Modified:18 Apr 2012 08:57

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