Group actions and irrationality in surface families
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866910664119812096 |
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| author | Chen, Nathan Esser, Louis |
| author_facet | Chen, Nathan Esser, Louis |
| contents | Rationality specializes in families of surfaces, even with mild singularities. In this paper, we study the analogous question for the degree of irrationality. We prove a specialization result when the degree of irrationality on the generic fiber arises from the quotient by a group action. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_18427 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Group actions and irrationality in surface families Chen, Nathan Esser, Louis Algebraic Geometry 14E05, 14L30 Rationality specializes in families of surfaces, even with mild singularities. In this paper, we study the analogous question for the degree of irrationality. We prove a specialization result when the degree of irrationality on the generic fiber arises from the quotient by a group action. |
| title | Group actions and irrationality in surface families |
| topic | Algebraic Geometry 14E05, 14L30 |
| url | https://arxiv.org/abs/2410.18427 |