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On local class field theory* [PDF]
Journal of the Mathematical Society of Japan, 1961 Verf. skizziert eine einheitliche Darstellung der lokalen Klassenkörpertheorie über Zahl- und Funktionenkörpern \(k\). Als Ausgangspunkt dient das Verschwinden der Kohomologiegruppen \(H^2(G(K/\hat k)), K^*)\), wobei \(\hat k\) die unverzweigte Erweiterung von \(k\) ist.
O. F. G. Schilling
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Asymptotic symmetries and subleading soft photon theorem in effective field theories
Journal of High Energy Physics, 2018 In [1, 2] it was shown that the subleading soft photon theorem in tree level amplitudes in massless QED is equivalent to a new class of symmetries of the theory parameterized by a vector field on the celestial sphere.
Alok Laddha, Prahar Mitra
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Computational class field theory [PDF]
, 2008 Class field theory furnishes an intrinsic description of the abelian extensions of a number field that is in many cases not of an immediate algorithmic nature. We outline the algorithms available for the explicit computation of such extensions.
Cohen, Henri, Stevenhagen, Peter
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Class field theory summarized [PDF]
Rocky Mountain Journal of Mathematics, 1981 Dennis Garbanti
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Class fields generated by coordinates of elliptic curves
Open Mathematics, 2022 Let KK be an imaginary quadratic field different from Q(−1){\mathbb{Q}}\left(\sqrt{-1}) and Q(−3){\mathbb{Q}}\left(\sqrt{-3}). For a nontrivial integral ideal m{\mathfrak{m}} of KK, let Km{K}_{{\mathfrak{m}}} be the ray class field modulo m{\mathfrak{m}}.
Jung Ho Yun, Koo Ja Kyung, Shin Dong Hwa
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Ramanujan’s function k(τ)=r(τ)r2(2τ) and its modularity
Open Mathematics, 2020 We study the modularity of Ramanujan’s function k(τ)=r(τ)r2(2τ)k(\tau )=r(\tau ){r}^{2}(2\tau ), where r(τ)r(\tau ) is the Rogers-Ramanujan continued fraction.
Lee Yoonjin, Park Yoon Kyung
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Effective field theories as Lagrange spaces
Journal of High Energy Physics, 2023 We present a formulation of scalar effective field theories in terms of the geometry of Lagrange spaces. The horizontal geometry of the Lagrange space generalizes the Riemannian geometry on the scalar field manifold, inducing a broad class of affine ...
Nathaniel Craig +3 more
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Tame class field theory for arithmetic schemes [PDF]
, 2004 We extend the unramified class field theory for arithmetic schemes of K. Kato and S. Saito to the tame case. Let $X$ be a regular proper arithmetic scheme and let $D$ be a divisor on $X$ whose vertical irreducible components are normal schemes. Theorem:
Alexander Schmidt +12 more
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Kaluza-Klein fermion mass matrices from exceptional field theory and N $$ \mathcal{N} $$ = 1 spectra
Journal of High Energy Physics, 2021 Using Exceptional Field Theory, we determine the infinite-dimensional mass matrices for the gravitino and spin-1/2 Kaluza-Klein perturbations above a class of anti-de Sitter solutions of M-theory and massive type IIA string theory with topologically ...
Mattia Cesàro, Oscar Varela
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