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arXiv · 1304.0162

Projective Representations II. Generalized chain geometries

Andrea Blunck·Hans Havlicek
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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 $Σ(F,R)$ to reguli; this mainly depends on how the field $F$ is embedded in the ring $R$. Moreover, we determine all bijective morphisms of a certain class of generalized chain geometries with the help of projective representations.

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Andrea Blunck, Hans Havlicek. 2013-03-31. Projective Representations II. Generalized chain geometries. https://doi.org/10.1007/bf02940922

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