Projective Representations II. Generalized chain geometries
Algebraic Geometry
2024-02-13 v1 Rings and Algebras
Abstract
In this paper, projective representations of generalized chain geometries are investigated, using the concepts and results of part I. In particular, we study under which conditions such a projective representation maps the chains of a generalized chain geometry to reguli; this mainly depends on how the field is embedded in the ring . Moreover, we determine all bijective morphisms of a certain class of generalized chain geometries with the help of projective representations.
Cite
@article{arxiv.1304.0162,
title = {Projective Representations II. Generalized chain geometries},
author = {Andrea Blunck and Hans Havlicek},
journal= {arXiv preprint arXiv:1304.0162},
year = {2024}
}