Postulation of lines in P3 revisited
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917840563470336 |
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| author | Dumnicki, Marcin Van, Mikolaj Le Malara, Grzegorz Szemberg, Tomasz Szpond, Justyna Tutaj-Gasinska, Halszka |
| author_facet | Dumnicki, Marcin Van, Mikolaj Le Malara, Grzegorz Szemberg, Tomasz Szpond, Justyna Tutaj-Gasinska, Halszka |
| contents | The purpose of the present note is to provide a new proof ot the well-known result due to Hartshorne and Hirschowitz to the effect that general lines in projective spaces have good postulation. Our approach uses specialization to a hyperplane and thus opens door to study postulation of general codimension 2 linear subspaces in projective spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_11379 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Postulation of lines in P3 revisited Dumnicki, Marcin Van, Mikolaj Le Malara, Grzegorz Szemberg, Tomasz Szpond, Justyna Tutaj-Gasinska, Halszka Algebraic Geometry 14C20, 14N05, 14N15, 14D06, 13H15, 13D40 The purpose of the present note is to provide a new proof ot the well-known result due to Hartshorne and Hirschowitz to the effect that general lines in projective spaces have good postulation. Our approach uses specialization to a hyperplane and thus opens door to study postulation of general codimension 2 linear subspaces in projective spaces. |
| title | Postulation of lines in P3 revisited |
| topic | Algebraic Geometry 14C20, 14N05, 14N15, 14D06, 13H15, 13D40 |
| url | https://arxiv.org/abs/2411.11379 |