- Author
- Bart De Bruyn (UGent)
- Organization
- Abstract
- The maximal and next-to-maximal subspaces of a nonsingular parabolic quadric Q(2n, 2), n >= 2, which are not contained in a given hyperbolic quadric Q(+)(2n - 1, q) subset of Q(2n, q) define a sub near polygon I-n of the dual polar space DQ(2n, 2). It is known that every valuation of DQ(2n, 2) induces a valuation of I-n. In this paper, we show that also the converse is true: every valuation of I-n is induced by a valuation of DQ(2n, 2). We will also study the structure of the valuations of I-n.
- Keywords
- dual polar space, near polygon, valuation, hyperplane
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-2026939
- MLA
- De Bruyn, Bart. “The Valuations of the near 2n-Gon In.” ARS COMBINATORIA, vol. 98, 2011, pp. 321–26.
- APA
- De Bruyn, B. (2011). The valuations of the near 2n-gon In. ARS COMBINATORIA, 98, 321–326.
- Chicago author-date
- De Bruyn, Bart. 2011. “The Valuations of the near 2n-Gon In.” ARS COMBINATORIA 98: 321–26.
- Chicago author-date (all authors)
- De Bruyn, Bart. 2011. “The Valuations of the near 2n-Gon In.” ARS COMBINATORIA 98: 321–326.
- Vancouver
- 1.De Bruyn B. The valuations of the near 2n-gon In. ARS COMBINATORIA. 2011;98:321–6.
- IEEE
- [1]B. De Bruyn, “The valuations of the near 2n-gon In,” ARS COMBINATORIA, vol. 98, pp. 321–326, 2011.
@article{2026939, abstract = {{The maximal and next-to-maximal subspaces of a nonsingular parabolic quadric Q(2n, 2), n >= 2, which are not contained in a given hyperbolic quadric Q(+)(2n - 1, q) subset of Q(2n, q) define a sub near polygon I-n of the dual polar space DQ(2n, 2). It is known that every valuation of DQ(2n, 2) induces a valuation of I-n. In this paper, we show that also the converse is true: every valuation of I-n is induced by a valuation of DQ(2n, 2). We will also study the structure of the valuations of I-n.}}, author = {{De Bruyn, Bart}}, issn = {{0381-7032}}, journal = {{ARS COMBINATORIA}}, keywords = {{dual polar space,near polygon,valuation,hyperplane}}, language = {{eng}}, pages = {{321--326}}, title = {{The valuations of the near 2n-gon In}}, volume = {{98}}, year = {{2011}}, }