arXiv Open Access 2024

On Lubin-Tate regulator maps and Kato's explicit reciprocity law

Takamichi Sano Otmar Venjakob

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Abstrak

We extend the interpolation property of the Lubin-Tate regulator map from [SV24] to Artin characters and show a reciprocity law in the sense of Cherbonnier-Colmez. This allows us to provide a new proof of Kato's explicit reciprocity law for Lubin-Tate formal groups.

Topik & Kata Kunci

math.NT

Penulis (2)

Takamichi Sano

Otmar Venjakob

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Sano, T., Venjakob, O. (2024). On Lubin-Tate regulator maps and Kato's explicit reciprocity law. https://arxiv.org/abs/2412.12429

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Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓