Impacto
Downloads
Downloads per month over past year
Arrondo Esteban, Enrique (1998) The universal rank(n − 1) bundle on G(1, n) restricted to subvarieties. Collectanea mathematica, 49 (23). pp. 173183. ISSN 00100757

PDF
125kB  
PDF
Restringido a Repository staff only 117kB 
Official URL: http://dmle.cindoc.csic.es/pdf/COLLECTANEAMATHEMATICA_1998_49_02_03.pdf
URL  URL Type 

http://www.collectanea.ub.edu/index.php/Collectanea  Publisher 
http://www.springer.com/  Publisher 
Abstract
The author has, in several articles, studied varieties in the Grassmannian G(k, n) of kplanes in projective nspace, that are projections from a variety in G(k,N). In the case
k = 1 the varieties of dimension n−1 in G(1, n) that are projections from G(1,N) were studied by E. Arrondo and I. Sols [“On congruences of lines in the projective space”,
M´em. Soc. Math. Fr., Nouv. S´er. 50 (1992; Zbl 0804.14016)] and solved for n = 3 by E. Arrondo [J. Algebr. Geom. 8, No. 1, 85101 (1999; Zbl 0945.14030)]. In the paper
under review the author studies the other extreme k = n−1, n−2. The case k = n−1 is solved completely, and in the case k = n−2 it is shown that if Y is a smooth variety of dimension s in G(1, n) whose dual Y in G(n − 2, n) is a nontrivial projection from G(n − 2, n + 1), then s = n − 1 and Y is completely classified. The methods are from
classical projective geometry and based upon results by E. Rogora [Manuscr. Math. 82, No. 2, 207226 (1994; Zbl 0812.14038)] and B. Segre.
Item Type:  Article 

Uncontrolled Keywords:  Grassmannians; linear normality; projections; duality 
Subjects:  Sciences > Mathematics > Geometry 
ID Code:  21007 
Deposited On:  23 Apr 2013 14:16 
Last Modified:  03 Oct 2018 11:43 
Origin of downloads
Repository Staff Only: item control page