On the geometry on the nondegenerate subspaces of orthogonal space

Altmann, Kristina; Gramlich, Ralf

Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, p. 167-179 / Harvested from Project Euclid

Résumé

The present article is part of the program described in Bennett, R. Gramlich, C. Hoffman, S. Shpectorov. Here we study the Phan-theoretic flipflop geometries related to the flip induced by a nondegenerate orthogonal form on a vector space over an arbitrary field of characteristic distinct from two. We obtain amalgam results in the spirit of Phan's theorems for fields that do not admit a quadratic extension and for real closed fields.

Publié le : 2006-03-14
Classification:

@article{1148059342,
     author = {Altmann, Kristina and Gramlich, Ralf},
     title = {On the geometry on the nondegenerate subspaces of orthogonal space},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {12},
     number = {5},
     year = {2006},
     pages = { 167-179},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148059342}
}

Altmann, Kristina; Gramlich, Ralf. On the geometry on the nondegenerate subspaces of orthogonal space. Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, pp.  167-179. http://gdmltest.u-ga.fr/item/1148059342/