2018
DOI: 10.4236/apm.2018.84023
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A Study of the p-Adic Frobenius Lifts and p-Adic Periods, from a Deformation Theory Viewpoint

Abstract: A canonical p-adic Frobenius lift is defined in the context of p-adic numbers, viewed as deformations of the corresponding finite field. Applications to p-adic periods are considered, including to the classical Euler gamma and beta functions and their p-adic analogues, from a cohomological point of view. Connections between various methods for computing scattering amplitudes are related to the moduli space problem and period domains.

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Cited by 1 publication
(6 citation statements)
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“…Understanding the connections with Venatiano amplitudes and Jacobi sums require an understanding of the "discrete case", of finite characteristic. A parallel with characteristic zero can be achieved via a Deformation Theory viewpoint, and can be found in [5].…”
Section: Discussionmentioning
confidence: 99%
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“…Understanding the connections with Venatiano amplitudes and Jacobi sums require an understanding of the "discrete case", of finite characteristic. A parallel with characteristic zero can be achieved via a Deformation Theory viewpoint, and can be found in [5].…”
Section: Discussionmentioning
confidence: 99%
“…p-Adic De Rham Cohomology. (Algebraic/Geometric) Number Theory in finite characteristic may be thought of as the "infinitesimal/linear analysis" of p-adic analysis 5 , and algebraic de Rham cohomology of a variety does not reduce "nicely", requiring a lift to characteristic zero of p-adic number fields, called Monski-Washnitzer cohomology [31], p.27 (See also [21] and references therein).…”
Section: P-adic Periodsmentioning
confidence: 99%
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