ε-isomorphisms for rank one (φ, Γ)-modules over Lubin-Tate Robba rings
Inspired by Nakamura's work [36] on epsilon -isomorphisms for (phi, Gamma-modules over (relative) Robba rings with respect to the cyclotomic theory, we formulate an analogous conjecture for L-analytic Lubin-Tate (phi(L), Gamma(L)-modules over (relative) Robba rings for any finite extension L of...
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| Hauptverfasser: | , , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
11 April 2025
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| In: |
Journal of the Institute of Mathematics of Jussieu
Year: 2025, Jahrgang: 24, Heft: 5, Pages: 1895-1994 |
| ISSN: | 1475-3030 |
| DOI: | 10.1017/S147474802500012X |
| Online-Zugang: | Verlag, kostenfrei, Volltext: https://doi.org/10.1017/S147474802500012X
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| Verfasserangaben: | Milan Malcic, Rustam Steingart, Otmar Venjakob and Max Witzelsperger |
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| 245 | 1 | 0 | |a ε-isomorphisms for rank one (φ, Γ)-modules over Lubin-Tate Robba rings |c Milan Malcic, Rustam Steingart, Otmar Venjakob and Max Witzelsperger |
| 246 | 3 | 3 | |a Epsilon-isomorphisms for rank one (phi, Gamma)-modules over Lubin-Tate Robba rings |
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| 520 | |a Inspired by Nakamura's work [36] on epsilon -isomorphisms for (phi, Gamma-modules over (relative) Robba rings with respect to the cyclotomic theory, we formulate an analogous conjecture for L-analytic Lubin-Tate (phi(L), Gamma(L)-modules over (relative) Robba rings for any finite extension L of Q(p). In contrast to Kato's and Nakamura's setting, our conjecture involves L-analytic cohomology instead of continuous cohomology within the generalized Herr complex. Similarly, we restrict to the identity components of D-cris and D-dR, respectively. For rank one modules of the above type or slightly more generally for trianguline ones, we construct epsilon-isomorphisms for their Lubin-Tate deformations satisfying the desired interpolation property. | ||
| 650 | 4 | |a (phi, Gamma)-modules | |
| 650 | 4 | |a CONJECTURE | |
| 650 | 4 | |a CRYSTALLINE REPRESENTATIONS | |
| 650 | 4 | |a epsilon-isomorphisms | |
| 650 | 4 | |a IWASAWA THEORY | |
| 650 | 4 | |a Lubin-Tate formal groups | |
| 650 | 4 | |a p-adic Hodge theory | |
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