The pseudoautomorphism group of $\mathbb{P}^3$ blown-up at $8$ very general points
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866914040005001216 |
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| author | Gachet, Cécile |
| author_facet | Gachet, Cécile |
| contents | We prove that the pseudoautomorphism group of a blow-up of $\mathbb{P}^3$ at $8$ very general points is trivial. We also establish the injectivity of the Coble representation associated to blow-ups of $\mathbb{P}^3$ at $r\ge 8$ general points, answering a question of Dolgachev--Ortland. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_12977 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The pseudoautomorphism group of $\mathbb{P}^3$ blown-up at $8$ very general points Gachet, Cécile Algebraic Geometry We prove that the pseudoautomorphism group of a blow-up of $\mathbb{P}^3$ at $8$ very general points is trivial. We also establish the injectivity of the Coble representation associated to blow-ups of $\mathbb{P}^3$ at $r\ge 8$ general points, answering a question of Dolgachev--Ortland. |
| title | The pseudoautomorphism group of $\mathbb{P}^3$ blown-up at $8$ very general points |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2509.12977 |