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On the interpolation property of Kupferer's Lubin-Tate regulator maps
Abstract
Generalizing both [LZ14] and [ScV26, SaV24] we prove the interpolation property at Artin characters of Kupferer's regulator map [Ku20] over a fixed local field L over ℚp for p any prime. Since our methods cover the case p=2, we in particular close a gap in the literature even for the (cyclotomic) 2-variable regulator map from [LZ14]. Moreover, we study big (dual) Bloch-Kato exponential maps for unramified towers and we use them to improve Colmez' reciprocity law in the Lubin-Tate setting from [SaV24]. Finally, we compare Kupferer's regulator map with the 2-variable regulator map of Loeffler-Zerbes when L=ℚp.
Related
- Lubin-Tate representations over nontrivial finite Galois extensions of ℚp are not Aut-intrinsically Hodge-Tate
- Universal norms of partially de Rham B-pairs and perfectness in Lubin--Tate Iwasawa theory
- Twisted Lubin-Tate Big Witt Vectors and Fleck-Sun-Wan Congruences
- Integral trace duality and the Witt filtration on Lubin--Tate space
- Invariant Primes in Lubin-Tate Space and Hovey-Strickland at Every Height
BibTeX
@misc{sano2026interpolation,
title = {{On the interpolation property of Kupferer's Lubin-Tate regulator maps}},
author = {Takamichi Sano and Otmar Venjakob},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.36600},
eprint = {2610.36600},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.36600},
}
RIS
TY - UNPB
TI - On the interpolation property of Kupferer's Lubin-Tate regulator maps
AU - Takamichi Sano
AU - Otmar Venjakob
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.36600
UR - https://arxiv.org/abs/2610.36600
AB - Generalizing both [LZ14] and [ScV26, SaV24] we prove the interpolation property at Artin characters of Kupferer's regulator map [Ku20] over a fixed local field L over ℚ_p for p any prime. Since our methods cover the case p=2, we in particular close a gap in the literature even for the (cyclotomic) 2-variable regulator map from [LZ14]. Moreover, we study big (dual) Bloch-Kato exponential maps for unramified towers and we use them to improve Colmez' reciprocity law in the Lubin-Tate setting from [SaV24]. Finally, we compare Kupferer's regulator map with the 2-variable regulator map of Loeffler-Zerbes when L=ℚ_p.
ER -