Volume: 20, Issue: 1(2008)
pp. 109-122 DOI: 10.1142/S0129167X09005200
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Full Text (PDF, 263KB)
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| Title: |
SMOOTH n-DIMENSIONAL SUBVARIETIES OF ℙ2n-1 CONTAINING A FAMILY OF VERY DEGENERATE DIVISORS |
| Author(s): |
JOSÉ CARLOS SIERRA
Departamento de Álgebra, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain
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| History: |
Received 4 July 2007
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| Abstract: |
A classification and a detailed geometric description are given for smooth n-dimensional subvarieties X ⊂ ℙ2n-1 containing a family of effective divisors each of them spanning a linear ℙn of ℙ2n-1. Some results on multisecant lines to threefolds X ⊂ ℙ5 follow, as a byproduct. |
| Keywords: |
Low codimensional subvarieties; hypersurface fibrations; Zak's Theorem on Tangencies; linear normality; multisecant lines to threefolds in ℙ5
AMSC numbers:
Primary 14M07, Primary 14N05, Secondary 14D06
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