Projective Representations II. Generalized chain geometries
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2013
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| _version_ | 1866916119596498944 |
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| author | Blunck, Andrea Havlicek, Hans |
| author_facet | Blunck, Andrea Havlicek, Hans |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1304_0162 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Projective Representations II. Generalized chain geometries Blunck, Andrea Havlicek, Hans Algebraic Geometry Rings and Algebras 51B05 51A45 51C05 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. |
| title | Projective Representations II. Generalized chain geometries |
| topic | Algebraic Geometry Rings and Algebras 51B05 51A45 51C05 |
| url | https://arxiv.org/abs/1304.0162 |