EVIDENCE TO SUBCANONICITY OF CODIMENSION TWO SUBVARIETIES OF 𝔾(1,4)-Reference-Cited by-同舟云学术

EVIDENCE TO SUBCANONICITY OF CODIMENSION TWO SUBVARIETIES OF 𝔾(1,4)

Published:2006-02 Issue:02 Volume:17 Page:157-168
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

ARRONDO ENRIQUE¹,FANIA MARIA LUCIA²

Affiliation:

1. Departamento de Álgebra, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain

2. Dipartimento di Matematica, Università degli Studi di L'Aquila, Via Vetoio Loc. Coppito, 67100 L'Aquila, Italy

Abstract

In this paper, we show that any smooth subvariety of codimension two in 𝔾(1,4) (the Grassmannian of lines of ℙ4) 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).

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X06003436

Reference22 articles.

1. Congruences of small degree inG(1,4)

2. The Adjunction Theory of Complex Projective Varieties

3. Boundedness for Nongeneral-Type 3-Folds in ℙ5

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