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Some new directions in p-adic Hodge theory
Published 2012“…We recall some basic constructions from p-adic Hodge theory, then describe some recent results in the subject. …”
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$p$ -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES – CORRIGENDUM
Published 2016-01-01Get full text
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Relative p-adic Hodge Theory and Rapoport-Zink Period Domains
Published 2011“…As an example of relative p-adic Hodge theory, we sketch the construction of the universal admissible filtration of an isocrystal ([theta] -module) over the completion of the maximal unramified extension of Qp, together with the associated universal crystalline local system.…”
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SERRE WEIGHTS AND WILD RAMIFICATION IN TWO-DIMENSIONAL GALOIS REPRESENTATIONS
Published 2016-01-01“…This characterization of the weights, which is formulated using $p$ -adic Hodge theory, is known under mild technical hypotheses if $p>2$ . …”
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$p$-DIVISIBILITY FOR COHERENT COHOMOLOGY
Published 2015-08-01“…These results are motivated by the desire to understand rational singularities in mixed characteristic, and have applications in $p$-adic Hodge theory.…”
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Cohomological Descent for Faltings Ringed Topos
Published 2024-01-01“…Faltings ringed topos, the keystone of Faltings’ approach to p-adic Hodge theory for a smooth variety over a local field, relies on the choice of an integral model, and its good properties depend on the (logarithmic) smoothness of this model. …”
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Bounded functions on the character variety
Published 2024“…Besides p-adic Fourier theory, the above question is related to the theory of formal groups, the theory of integer valued polynomials on oL, p-adic Hodge theory, and Iwasawa theory. …”
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