Gaussian scrolls, Gaussian flags and duality
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2019
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| _version_ | 1866913286955466752 |
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| author | Ran, Ziv |
| author_facet | Ran, Ziv |
| contents | A projective variety whose Gauss map has positive dimensional fibres corresponds to a special kind of scroll called \emph{Gaussian}. A Gaussian scroll is a member of a canonical derived \emph{ Gaussian flag}. We introduce a duality in the class of Gaussian scrolls and flags and study its consequences. In particular, a Gaussian scroll is dual to the derived or tangent developable scroll of a Gaussian scroll in the dual projective space, and is the 'leading edge' or antiderived scroll of its derived stationary scroll. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1909_03307 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Gaussian scrolls, Gaussian flags and duality Ran, Ziv Algebraic Geometry 14n05 A projective variety whose Gauss map has positive dimensional fibres corresponds to a special kind of scroll called \emph{Gaussian}. A Gaussian scroll is a member of a canonical derived \emph{ Gaussian flag}. We introduce a duality in the class of Gaussian scrolls and flags and study its consequences. In particular, a Gaussian scroll is dual to the derived or tangent developable scroll of a Gaussian scroll in the dual projective space, and is the 'leading edge' or antiderived scroll of its derived stationary scroll. |
| title | Gaussian scrolls, Gaussian flags and duality |
| topic | Algebraic Geometry 14n05 |
| url | https://arxiv.org/abs/1909.03307 |