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The Generality of Local Class Field Theory (Generalized Local Class Field Theory V) [PDF]
Proceedings of the American Mathematical Society, 1957 1. The theorems of local class field theory are known to hold for all fields which are complete under a discrete rank one valuation and whose residue class fields (1) have no inseparable extension and (2) have, in any algebraic closure, exactly one (necessarily cyclic) extension of degree n for every integer n> 0.
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Local class field theory [PDF]
St. Petersburg Mathematical Journal, 2004 The author gives condition for a Henselian field \(F\) which imply that local class field theory is valid for \(F\) in the sense that for every finite Galois extension \(F_0\) of \(F\) the reciprocity map \(\text{Gal}(F_0/F) \to F^{\times}/N_{F_0/F}(F_0^{\times})\) induces an isomorphism of the projection to \(\text{Gal}(F_0/F)^{ab}\).
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SERRE WEIGHTS AND WILD RAMIFICATION IN TWO-DIMENSIONAL GALOIS REPRESENTATIONS
Forum of Mathematics, Sigma, 2016 A generalization of Serre’s Conjecture asserts that if $F$ is a totally real field, then certain characteristic
LASSINA DEMBÉLÉ +2 more
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Ghost-free infinite derivative quantum field theory
Nuclear Physics B, 2019 In this paper we will study Lorentz-invariant, infinite derivative quantum field theories, where infinite derivatives give rise to non-local interactions at the energy scale Ms, beyond the Standard Model.
Luca Buoninfante +2 more
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(No) phase transition in tensorial group field theory
Physics Letters B, 2021 Continuum spacetime is expected to emerge via phase transition in discrete approaches to quantum gravity. A promising example is tensorial group field theory but its phase diagram remains an open issue.
Andreas G.A. Pithis, Johannes Thürigen
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Ramification theory in non-abelian local class field theory [PDF]
Acta Arithmetica, 2010 Öz bulunamadı.
Ikeda, Kazim Ilhan, Serbest, Erol
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Conformal Symmetry in Field Theory and in Quantum Gravity
Universe, 2018 Conformal symmetry always played an important role in field theory (both quantum and classical) and in gravity. We present construction of quantum conformal gravity and discuss its features regarding scattering amplitudes and quantum effective action ...
Lesław Rachwał
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Fields with local class field theory
Journal of Algebra, 1976 We say that a field k possesses local class jield theory when the finite separable algebraic extensions K / k form an Artin-Tate class formation with respect to the multiplicative groups K *. In addition to the p-adic number fields Q, and the field lR of real numbers themselves, their maximal absolutely algebraic subfields Q; and lRa are known to have ...
Neukirch, Jürgen, Perlis, Robert
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Summing inflationary logarithms in nonlinear sigma models
Journal of High Energy Physics, 2022 We consider two nonlinear sigma models on de Sitter background which involve the same derivative interactions as quantum gravity but without the gauge issue.
S. P. Miao, N. C. Tsamis, R. P. Woodard
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Local Class Field Theory via Lubin-Tate Theory [PDF]
Annales de la Faculté des sciences de Toulouse : Mathématiques, 2008 We give a self-contained exposition of local class field theory, via Lubin-Tate theory and the Hasse-Arf theorem, refining the arguments of Iwasawa [9].
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