Real rank two geometry
The real rank two locus of an algebraic variety is the closure of the union of all secant lines spanned by real points. We seek a semi-algebraic description of this set. Its algebraic boundary consists of the tangential variety and the edge variety. Our study of Segre and Veronese varieties yields a...
| Main Authors: | , |
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| Format: | Journal article |
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Elsevier
2017
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| _version_ | 1826284204778848256 |
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| author | Seigal, A Sturmfels, B |
| author_facet | Seigal, A Sturmfels, B |
| author_sort | Seigal, A |
| collection | OXFORD |
| description | The real rank two locus of an algebraic variety is the closure of the union of all secant lines spanned by real points. We seek a semi-algebraic description of this set. Its algebraic boundary consists of the tangential variety and the edge variety. Our study of Segre and Veronese varieties yields a characterization of tensors of real rank two. |
| first_indexed | 2024-03-07T01:10:22Z |
| format | Journal article |
| id | oxford-uuid:8ccb6373-8944-4dd5-8016-4b1cf9b37938 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T01:10:22Z |
| publishDate | 2017 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:8ccb6373-8944-4dd5-8016-4b1cf9b379382022-03-26T22:46:50ZReal rank two geometryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8ccb6373-8944-4dd5-8016-4b1cf9b37938Symplectic Elements at OxfordElsevier2017Seigal, ASturmfels, BThe real rank two locus of an algebraic variety is the closure of the union of all secant lines spanned by real points. We seek a semi-algebraic description of this set. Its algebraic boundary consists of the tangential variety and the edge variety. Our study of Segre and Veronese varieties yields a characterization of tensors of real rank two. |
| spellingShingle | Seigal, A Sturmfels, B Real rank two geometry |
| title | Real rank two geometry |
| title_full | Real rank two geometry |
| title_fullStr | Real rank two geometry |
| title_full_unstemmed | Real rank two geometry |
| title_short | Real rank two geometry |
| title_sort | real rank two geometry |
| work_keys_str_mv | AT seigala realranktwogeometry AT sturmfelsb realranktwogeometry |