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Noether's problem for A6 and A7

  • Federico Scavia
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Abstract

We prove that BkA6 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 BkA7 is stably rational over every field k of characteristic zero in which $2$ and −3 are squares.

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Cite

BibTeXRIS
BibTeX
@misc{scavia2026noethers,
  title = {{Noether's problem for $A_6$ and $A_7$}},
  author = {Federico Scavia},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.15163},
  eprint = {2609.15163},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05765942v1},
}
RIS
TY  - UNPB
TI  - Noether's problem for A_6 and A_7
AU  - Federico Scavia
PY  - 2026
DA  - 2026/09/14
PB  - HAL
DO  - 10.48550/arxiv.2609.15163
UR  - https://hal.science/hal-05765942v1
AB  - 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.
ER  -