Class field theory, its three main generalisations, and applications

EMS Surveys in Mathematical Sciences ◽

10.4171/emss/45 ◽

2021 ◽

Vol 8 (1) ◽

pp. 107-133

Author(s):

Ivan Fesenko

Keyword(s):

Field Theory ◽

Class Field Theory ◽

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A Quick Tour of Class Field Theory

Graduate Texts in Mathematics - Fourier Analysis on Number Fields ◽

10.1007/978-1-4757-3085-2_6 ◽

1999 ◽

pp. 213-240

Author(s):

Dinakar Ramakrishnan ◽

Robert J. Valenza

Keyword(s):

Field Theory ◽

Class Field Theory ◽

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A Gentle Course in Local Class Field Theory

10.1017/9781108377751 ◽

2018 ◽

Author(s):

Pierre Guillot

Keyword(s):

Field Theory ◽

Class Field Theory ◽

Class Field ◽

Local Class Field Theory

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Abstract class field theory (a finitary approach)

Sbornik Mathematics ◽

10.1070/sm2003v194n02abeh000712 ◽

2003 ◽

Vol 194 (2) ◽

pp. 199-223 ◽

Author(s):

Yu L Ershov

Keyword(s):

Field Theory ◽

Class Field Theory ◽

Class Field ◽

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Class Formations and Higher Dimensional Local Class Field Theory

Journal of Number Theory ◽

10.1006/jnth.1997.2048 ◽

1997 ◽

Vol 62 (2) ◽

pp. 273-283 ◽

Author(s):

Michael Spiess

Keyword(s):

Field Theory ◽

Class Field Theory ◽

Class Field ◽

Higher Dimensional ◽

Local Class Field Theory

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Chapter V Class Field Theory

Pure and Applied Mathematics ◽

10.1016/s0079-8169(08)62566-0 ◽

1973 ◽

pp. 140-195

Keyword(s):

Field Theory ◽

Class Field Theory ◽

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Class field theory and algebraic K-theory

Lecture Notes in Mathematics - Algebraic Geometry ◽

10.1007/bfb0099960 ◽

1983 ◽

pp. 109-126 ◽

Author(s):

Kazuya Kato

Keyword(s):

Field Theory ◽

Class Field Theory ◽

Class Field ◽

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Applications of the class field theory of global fields

Discovering Mathematics with Magma - Algorithms and Computation in Mathematics ◽

10.1007/978-3-540-37634-7_2 ◽

2007 ◽

pp. 31-62

Author(s):

Claus Fieker

Keyword(s):

Field Theory ◽

Class Field Theory ◽

Class Field ◽

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Preparations for local class field theory

Algebraic Numbers and Algebraic Functions ◽

10.1090/chel/358/06 ◽

2006 ◽

pp. 103-126

Keyword(s):

Field Theory ◽

Class Field Theory ◽

Class Field ◽

Local Class Field Theory

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1. Background from Class Field Theory

Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields - Contemporary Mathematics ◽

10.1090/conm/024/01 ◽

1983 ◽

pp. 1-10

Author(s):

Albrecht Fröhlich

Keyword(s):

Field Theory ◽

Class Field Theory ◽

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Galois Cohomology and Class Field Theory

10.1007/978-3-030-43901-9 ◽

2020 ◽

Author(s):

David Harari

Keyword(s):

Field Theory ◽

Galois Cohomology ◽

Class Field Theory ◽

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