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$p$-Adic Heights and $p$-Adic Hodge Theory

Denis Benois Institut de Mathématiques, Université de Bordeaux, Talence, France
A publication of the Société Mathématique de France
Available Formats:
Softcover ISBN: 978-2-85629-929-6
Product Code: SMFMEM/167
List Price: $52.00 AMS Member Price:$41.60
Please note AMS points can not be used for this product
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$p$-Adic Heights and $p$-Adic Hodge Theory
Denis Benois Institut de Mathématiques, Université de Bordeaux, Talence, France
A publication of the Société Mathématique de France
Available Formats:
 Softcover ISBN: 978-2-85629-929-6 Product Code: SMFMEM/167
 List Price: $52.00 AMS Member Price:$41.60
Please note AMS points can not be used for this product
• Book Details

Mémoires de la Société Mathématique de France
Volume: 1672021; 135 pp
MSC: 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.

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Volume: 1672021; 135 pp
MSC: 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.