SMOOTH n-DIMENSIONAL SUBVARIETIES OF ℙ2n-1 CONTAINING A FAMILY OF VERY DEGENERATE DIVISORS-Reference-Cited by-同舟云学术

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SMOOTH n-DIMENSIONAL SUBVARIETIES OF ℙ2n-1 CONTAINING A FAMILY OF VERY DEGENERATE DIVISORS

Published:2009-01 Issue:01 Volume:20 Page:109-122
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

SIERRA JOSÉ CARLOS¹

Affiliation:

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X09005200

Reference38 articles.

1. The smooth surfaces in P4 without apparent triple points

2. Transplanting Cohomology Classes in Complex-Projective Space

3. On the Homotopy Groups of Complex Projective Algebraic Manifolds.

4. M. C. Beltrametti, Complex Analysis and Algebraic Geometry: A Volume in Memory of Michael Schneider, eds. T. Peternell and F. O. Schreyer (de Gruyter, Berlin, 2000) pp. 71–107.

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1. Surfaces containing a family of plane curves not forming a fibration;Collectanea Mathematica;2011-07-23

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