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 |
| Summary: | 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. |
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| ISSN: | 2491-6765 |