On rational points on classifying stacks and Malle's conjecture
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909285551702016 |
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| author | Akhtari, Shabnam Park, Jennifer Pieropan, Marta Sankar, Soumya |
| author_facet | Akhtari, Shabnam Park, Jennifer Pieropan, Marta Sankar, Soumya |
| contents | In this expository article, we compare Malle's conjecture on counting number fields of bounded discriminant with recent conjectures of Ellenberg--Satriano--Zureick-Brown and Darda--Yasuda on counting points of bounded height on classifying stacks. We illustrate the comparisons via the classifying stacks $B(\mathbb{Z}/n\mathbb{Z})$ and $B{μ_n}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10355 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On rational points on classifying stacks and Malle's conjecture Akhtari, Shabnam Park, Jennifer Pieropan, Marta Sankar, Soumya Number Theory Algebraic Geometry 11R45, 11R32, 11G50 In this expository article, we compare Malle's conjecture on counting number fields of bounded discriminant with recent conjectures of Ellenberg--Satriano--Zureick-Brown and Darda--Yasuda on counting points of bounded height on classifying stacks. We illustrate the comparisons via the classifying stacks $B(\mathbb{Z}/n\mathbb{Z})$ and $B{μ_n}$. |
| title | On rational points on classifying stacks and Malle's conjecture |
| topic | Number Theory Algebraic Geometry 11R45, 11R32, 11G50 |
| url | https://arxiv.org/abs/2402.10355 |