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Local recognition of the line graph of an anisotropic vector space
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Kristina Altmann
Published/Copyright:
August 19, 2009
Abstract
Let n ≥ 7 and let V be an (n + 2)-dimensional vector space endowed with an anisotropic sesquilinear form. In this article we characterise the graph whose vertices are the two-dimensional subspaces of V and in which two vertices are adjacent if and only if the corresponding two-dimensional spaces are perpendicular with respect to the sesquilinear form.
Received: 2007-10-14
Published Online: 2009-08-19
Published in Print: 2010-January
© de Gruyter 2010
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Articles in the same Issue
- Secant dimensions of low-dimensional homogeneous varieties
- Peano differentiable extensions in o-minimal structures
- Global properties of codimension two spacelike submanifolds in Minkowski space
- Local recognition of the line graph of an anisotropic vector space
- Bicanonical map of surfaces with χ = 1 fibered by hyperelliptic curves of genus 3
- O(p + 1) × O(q + 1)-invariant (r – 1)-minimal hypersurfaces in Euclidean space
- Positivity in power series rings
- Scrolls over four dimensional varieties
- Nearly flag-transitive affine planes
Articles in the same Issue
- Secant dimensions of low-dimensional homogeneous varieties
- Peano differentiable extensions in o-minimal structures
- Global properties of codimension two spacelike submanifolds in Minkowski space
- Local recognition of the line graph of an anisotropic vector space
- Bicanonical map of surfaces with χ = 1 fibered by hyperelliptic curves of genus 3
- O(p + 1) × O(q + 1)-invariant (r – 1)-minimal hypersurfaces in Euclidean space
- Positivity in power series rings
- Scrolls over four dimensional varieties
- Nearly flag-transitive affine planes
