Work

Noether's problem for $A_6$ and $A_7$

Year: 2026

Type: preprint

Abstract: We prove that $B_kA_6$ is stably rational over every field $k$ in which $2$ and $-3$ are nonzero squares. Combining this with a theorem of Plans, we deduce that $B_kA_7$ is stably rational over every field $k$ of characteristic zero in which $2$ and $-3$ are squares.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.15163

Author: Scavia, Federico

Institutions: Centre National de la Recherche Scientifique, Université Sorbonne Paris Nord

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7213250727

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