A primer on measures of irrationality
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866914021672747008 |
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| author | Chen, Nathan Martin, Olivier |
| author_facet | Chen, Nathan Martin, Olivier |
| contents | Measures of irrationality are a numerical way of quantifying how far a given variety is from being rational (or rationally connected, uniruled, etc.). In the last two decades, there has been renewed interest in the study of these invariants. The goal of this expository survey is to summarize known results from the point of view of the Kodaira--Enriques classification of surfaces, highlight recent progress, and discuss a number of open problems and questions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_03783 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A primer on measures of irrationality Chen, Nathan Martin, Olivier Algebraic Geometry 14E05, 14E08 Measures of irrationality are a numerical way of quantifying how far a given variety is from being rational (or rationally connected, uniruled, etc.). In the last two decades, there has been renewed interest in the study of these invariants. The goal of this expository survey is to summarize known results from the point of view of the Kodaira--Enriques classification of surfaces, highlight recent progress, and discuss a number of open problems and questions. |
| title | A primer on measures of irrationality |
| topic | Algebraic Geometry 14E05, 14E08 |
| url | https://arxiv.org/abs/2509.03783 |