On rational points on classifying stacks and Malle's conjecture

Marta Pieropan; Shabnam Akhtari; Jennifer Park; Soumya Sankar

doi:10.48550/arXiv.2402.10355

On rational points on classifying stacks and Malle's conjecture

Marta Pieropan, Shabnam Akhtari, Jennifer Park, Soumya Sankar

Research output: Working paper › Preprint › Academic

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(Z/nZ) and Bµn.

Original language	English
Publisher	arXiv
Number of pages	22
DOIs	https://doi.org/10.48550/arXiv.2402.10355
Publication status	Published - 13 Aug 2024

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2402.10355v2Submitted manuscript, 436 KB

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title = "On rational points on classifying stacks and Malle's conjecture",

abstract = "In this expository article, we compare Malle{\textquoteright}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(Z/nZ) and Bµn.",

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AU - Pieropan, Marta

AU - Akhtari, Shabnam

AU - Park, Jennifer

AU - Sankar, Soumya

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N2 - 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(Z/nZ) and Bµn.

AB - 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(Z/nZ) and Bµn.

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DO - 10.48550/arXiv.2402.10355

M3 - Preprint

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ER -

On rational points on classifying stacks and Malle's conjecture

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