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On rational points on classifying stacks and Malle's conjecture (2402.10355v2)
Published 15 Feb 2024 in math.NT and math.AG
Abstract: 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 $B{\mu_n}$.
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