The space of twisted cubics
We consider the Cohen-Macaulay compactification of the space of twisted cubics in projective n-space. This compactification is the fine moduli scheme representing the functor of CM-curves with Hilbert polynomial 3t+1. We show that the moduli scheme of CM-curves in projective 3-space is isomorphic to...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Association Epiga
2021-06-01
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| Series: | Épijournal de Géométrie Algébrique |
| Subjects: | |
| Online Access: | https://epiga.episciences.org/5573/pdf |
| _version_ | 1798029648445046784 |
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| author | Katharina Heinrich Roy Skjelnes Jan Stevens |
| author_facet | Katharina Heinrich Roy Skjelnes Jan Stevens |
| author_sort | Katharina Heinrich |
| collection | DOAJ |
| description | We consider the Cohen-Macaulay compactification of the space of twisted
cubics in projective n-space. This compactification is the fine moduli scheme
representing the functor of CM-curves with Hilbert polynomial 3t+1. We show
that the moduli scheme of CM-curves in projective 3-space is isomorphic to the
twisted cubic component of the Hilbert scheme. We also describe the
compactification for twisted cubics in n-space. |
| first_indexed | 2024-04-11T19:28:40Z |
| format | Article |
| id | doaj.art-76363d6a818743e6a2f9ace8e2f1ad6d |
| institution | Directory Open Access Journal |
| issn | 2491-6765 |
| language | English |
| last_indexed | 2024-04-11T19:28:40Z |
| publishDate | 2021-06-01 |
| publisher | Association Epiga |
| record_format | Article |
| series | Épijournal de Géométrie Algébrique |
| spelling | doaj.art-76363d6a818743e6a2f9ace8e2f1ad6d2022-12-22T04:07:04ZengAssociation EpigaÉpijournal de Géométrie Algébrique2491-67652021-06-01Volume 510.46298/epiga.2021.volume5.55735573The space of twisted cubicsKatharina HeinrichRoy SkjelnesJan StevensWe consider the Cohen-Macaulay compactification of the space of twisted cubics in projective n-space. This compactification is the fine moduli scheme representing the functor of CM-curves with Hilbert polynomial 3t+1. We show that the moduli scheme of CM-curves in projective 3-space is isomorphic to the twisted cubic component of the Hilbert scheme. We also describe the compactification for twisted cubics in n-space.https://epiga.episciences.org/5573/pdfmathematics - algebraic geometry14c05, 14d22, 14h10, 14a20 |
| spellingShingle | Katharina Heinrich Roy Skjelnes Jan Stevens The space of twisted cubics Épijournal de Géométrie Algébrique mathematics - algebraic geometry 14c05, 14d22, 14h10, 14a20 |
| title | The space of twisted cubics |
| title_full | The space of twisted cubics |
| title_fullStr | The space of twisted cubics |
| title_full_unstemmed | The space of twisted cubics |
| title_short | The space of twisted cubics |
| title_sort | space of twisted cubics |
| topic | mathematics - algebraic geometry 14c05, 14d22, 14h10, 14a20 |
| url | https://epiga.episciences.org/5573/pdf |
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