| SoftcoverISBN: | 978-2-85629-929-6 |
| Product Code: | SMFMEM/167 |
| List Price: | $52.00 |
| AMS Member Price: | $41.60 |
| Softcover ISBN: | 978-2-85629-929-6 |
| Product Code: | SMFMEM/167 |
| List Price: | $52.00 |
| AMS Member Price: | $41.60 |
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Book DetailsMémoires de la Société Mathématique de FranceVolume: 167; 2021; 135 ppMSC: Primary 11;
Using the theory of \((\varphi, \Gamma)\)-modules and the formalism of Selmer complexes we construct the \(p\)-adic height pairing for \(p\)-adic representations with coefficients in an affinoid algebra over \(\mathbb{Q}{_p}\). For \(p\)-adic representations that are potentially semistable at \(p\), the author relates this contruction to universal norms and compares it to the \(p\)-adic height pairings of Nekovar and Perrin-Riou.
ReadershipGraduate students and research mathematicians.
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Using the theory of \((\varphi, \Gamma)\)-modules and the formalism of Selmer complexes we construct the \(p\)-adic height pairing for \(p\)-adic representations with coefficients in an affinoid algebra over \(\mathbb{Q}{_p}\). For \(p\)-adic representations that are potentially semistable at \(p\), the author relates this contruction to universal norms and compares it to the \(p\)-adic height pairings of Nekovar and Perrin-Riou.
Graduate students and research mathematicians.
