Clifford-like parallelisms
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| _version_ | 1866911768445452288 |
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| author | Havlicek, Hans Pasotti, Stefano Pianta, Silvia |
| author_facet | Havlicek, Hans Pasotti, Stefano Pianta, Silvia |
| contents | Given two parallelisms of a projective space we describe a construction, called blending, that yields a (possibly new) parallelism of this space. For a projective double space $(\mathbb{P},\parallel_\ell,\parallel_r)$ over a quaternion skew field we characterise the "Clifford-like" parallelisms, i.e. the blends of the Clifford parallelisms $\parallel_\ell$ and $\parallel_r$, in a geometric and an algebraic way. Finally, we establish necessary and sufficient conditions for the existence of Clifford-like parallelisms that are not Clifford. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1811_04702 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Clifford-like parallelisms Havlicek, Hans Pasotti, Stefano Pianta, Silvia Algebraic Geometry Combinatorics 51A15, 51J15 Given two parallelisms of a projective space we describe a construction, called blending, that yields a (possibly new) parallelism of this space. For a projective double space $(\mathbb{P},\parallel_\ell,\parallel_r)$ over a quaternion skew field we characterise the "Clifford-like" parallelisms, i.e. the blends of the Clifford parallelisms $\parallel_\ell$ and $\parallel_r$, in a geometric and an algebraic way. Finally, we establish necessary and sufficient conditions for the existence of Clifford-like parallelisms that are not Clifford. |
| title | Clifford-like parallelisms |
| topic | Algebraic Geometry Combinatorics 51A15, 51J15 |
| url | https://arxiv.org/abs/1811.04702 |