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PreprintarXiv licencearXiv

A note on isomorphism types of complete discretely valued fields of mixed characteristic

Abstract

In this paper, we resolve the problem of finding the required level of truncation needed on the isomorphism class of a truncated valuation ring of a complete discretely valued field of mixed characteristic to determine the isomorphism class of the field itself.

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BibTeX
@misc{velavan2026note,
  title = {{A note on isomorphism types of complete discretely valued fields of mixed characteristic}},
  author = {Pranav Velavan},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.29936},
  eprint = {2609.29936},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.29936},
}
RIS
TY  - UNPB
TI  - A note on isomorphism types of complete discretely valued fields of mixed characteristic
AU  - Pranav Velavan
PY  - 2026
DA  - 2026/09/24
PB  - arXiv
DO  - 10.48550/arxiv.2609.29936
UR  - https://arxiv.org/abs/2609.29936
AB  - In this paper, we resolve the problem of finding the required level of truncation needed on the isomorphism class of a truncated valuation ring of a complete discretely valued field of mixed characteristic to determine the isomorphism class of the field itself.
ER  -