שמור ב:
| מחבר ראשי: | |
|---|---|
| פורמט: | Preprint |
| יצא לאור: |
2014
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| נושאים: | |
| גישה מקוונת: | https://arxiv.org/abs/1404.2211 |
| תגים: |
הוספת תג
אין תגיות, היה/י הראשונ/ה לתייג את הרשומה!
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תוכן הענינים:
- It is well known that a purely inseparable field extension $L/F$ with some extra property and degree $[L:F]=4$ determines a Clifford parallelism on the set of lines of the three-dimensional projective space over $F$. By extending the ground field of this space from $F$ to $L$, we establish the following geometric description of such a parallelism in terms of a distinguished `absolute pencil of lines' of the extended space: Two lines are Clifford parallel if, and only if, there exists a line of the absolute pencil that meets both of them.