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PreprintCC BY 4.0arXiv

Voevodsky motives and motives with modulus with finite coefficients in characteristic zero

Abstract

Let k be a field of characteristic zero and let n≥ 2 be an integer. We prove that, with Z/nZ-coefficients, the category of effective motives with modulus is equivalent to the category of effective Voevodsky motives.

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BibTeX
@misc{matsumoto2026voevodsky,
  title = {{Voevodsky motives and motives with modulus with finite coefficients in characteristic zero}},
  author = {Keiho Matsumoto},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.36714},
  eprint = {2609.36714},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.36714},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Voevodsky motives and motives with modulus with finite coefficients in characteristic zero
AU  - Keiho Matsumoto
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.36714
UR  - https://arxiv.org/abs/2609.36714
AB  - Let k be a field of characteristic zero and let n≥ 2 be an integer. We prove that, with Z/nZ-coefficients, the category of effective motives with modulus is equivalent to the category of effective Voevodsky motives.
ER  -