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PreprintCC BY-NC-ND 4.0HAL

Universal norms and de Rham representations

  • Laurent Berger
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Abstract

The purpose of this note is to show that the computation of the universal norms in Iwasawa cohomology for the p-adic cyclotomic extension implies the same result for any p-adic extension that contains the cyclotomic extension. In addition, we prove a twisted cyclotomic variant, which applies to Lubin--Tate extensions.

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Cite

BibTeXRIS
BibTeX
@misc{berger2026universal,
  title = {{Universal norms and de Rham representations}},
  author = {Laurent Berger},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.09862},
  eprint = {2609.09862},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05744825v1},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Universal norms and de Rham representations
AU  - Laurent Berger
PY  - 2026
DA  - 2026/09/10
PB  - HAL
DO  - 10.48550/arxiv.2609.09862
UR  - https://hal.science/hal-05744825v1
AB  - The purpose of this note is to show that the computation of the universal norms in Iwasawa cohomology for the p-adic cyclotomic extension implies the same result for any p-adic extension that contains the cyclotomic extension. In addition, we prove a twisted cyclotomic variant, which applies to Lubin--Tate extensions.
ER  -