Results 11 to 20 of about 14,390,534 (297)

Class field theory [PDF]

open access: yes, 2018
Class field theory describes the Abelian extensions of a local or global field in terms of the arithmetic of the field itself. The aim of this thesis is to present and prove its main statements. We begin by developing local class field theory and then we derive the global results from the local results.
Alonso Rodríguez, Raúl
core   +4 more sources

Class Field Theory and Elliptic Curves with Complex Multiplication [PDF]

open access: yes, 2023
openClass field theory is a branch of algebraic number theory which has the purpose of studying and classifying abelian extensions of fields. The work starts with a detailed study of this theory based on a cohomological approach which leads to the ...
DA RONCHE, ENRICO
core  

Class field theory, its three main generalisations, and applications [PDF]

open access: yes, 2021
This work presents branches of class field theory. Special and general approaches to class field theory, and their roles, are discussed. Three main generalisations of class field theory: higher class field theory, Langlands correspondences and anabelian ...
Fesenko, Ivan
core   +1 more source

The Lockdown Diaries of the Working Class

open access: yes, 2022
Collated by the Working Class Collective, The Lockdown Diaries of the Working Class is a beautiful, self-published, illustrated book featuring the diaries of working class people from across the UK and their experiences of life during the first COVID19 ...
The Working Class Collective
core   +4 more sources

Algebraic field theory operads and linear quantization [PDF]

open access: yes, 2019
We generalize the operadic approach to algebraic quantum field theory [arXiv:1709.08657] to a broader class of field theories whose observables on a spacetime are algebras over any single-colored operad.
Bruinsma, Simen, Schenkel, Alexander
core   +1 more source

AdS5 compactifications with punctures in massive IIA supergravity

open access: yesJournal of High Energy Physics, 2017
We find AdS5 solutions holographically dual to compactifications of six- dimensional N $$ \mathcal{N} $$ = (1, 0) supersymmetric field theories on Riemann surfaces with punctures.
Ibrahima Bah   +2 more
doaj   +1 more source

Higher dimensional quantum Hall effect as A-class topological insulator

open access: yesNuclear Physics B, 2014
We perform a detail study of higher dimensional quantum Hall effects and A-class topological insulators with emphasis on their relations to non-commutative geometry.
Kazuki Hasebe
doaj   +1 more source

Olympic links in a Chebotarev link

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2020
The Chebotarev law for an infinite link is an equidistribution property about how its components are linked in a group theoretic sense. We overview several properties of a Chebotarev link following the author's article "Chebotarev links are stable ...
Jun Ueki
doaj   +1 more source

On a problem of Hasse and Ramachandra

open access: yesOpen Mathematics, 2019
Let K be an imaginary quadratic field, and let 𝔣 be a nontrivial integral ideal of K. Hasse and Ramachandra asked whether the ray class field of K modulo 𝔣 can be generated by a single value of the Weber function. We completely resolve this question when
Koo Ja Kyung   +2 more
doaj   +1 more source

Duality for relative logarithmic de Rham–Witt sheaves and wildly ramified class field theory over finite fields [PDF]

open access: yes, 2018
In order to study p-adic etale cohomology of an open subvariety U of a smooth proper variety X over a perfect field of characteristic p > 0, we introduce new p-primary torsion sheaves.
Saito, Shuji   +5 more
core   +1 more source

Home - About - Disclaimer - Privacy