Birational geometry of Calabi-Yau pairs and 3-dimensional Cremona transformations
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866909380982603776 |
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| author | Araujo, Carolina Corti, Alessio Massarenti, Alex |
| author_facet | Araujo, Carolina Corti, Alessio Massarenti, Alex |
| contents | We develop a framework that allows one to describe the birational geometry of Calabi-Yau pairs $(X,D)$. After establishing some general results for Calabi-Yau pairs $(X,D)$ with mild singularities, we focus on the special case when $X=\mathbb{P}^3$ and $D\subset \mathbb{P}^3$ is a quartic surface. We investigate how the appearance of increasingly worse singularities on $D$ enriches the birational geometry of the pair $(\mathbb{P}^3, D)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_00207 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Birational geometry of Calabi-Yau pairs and 3-dimensional Cremona transformations Araujo, Carolina Corti, Alessio Massarenti, Alex Algebraic Geometry 14E30 (Primary) 14E05, 14E07 (Secondary) We develop a framework that allows one to describe the birational geometry of Calabi-Yau pairs $(X,D)$. After establishing some general results for Calabi-Yau pairs $(X,D)$ with mild singularities, we focus on the special case when $X=\mathbb{P}^3$ and $D\subset \mathbb{P}^3$ is a quartic surface. We investigate how the appearance of increasingly worse singularities on $D$ enriches the birational geometry of the pair $(\mathbb{P}^3, D)$. |
| title | Birational geometry of Calabi-Yau pairs and 3-dimensional Cremona transformations |
| topic | Algebraic Geometry 14E30 (Primary) 14E05, 14E07 (Secondary) |
| url | https://arxiv.org/abs/2306.00207 |