Explicit Class Field Theory is a research program in algebraic number theory that seeks to construct abelian extensions of number fields explicitly by means of arithmetic objects associated to the base field, thereby realizing the isomorphisms predicted by class field theory through concrete generators and equations.
27
Publications
1.8K
Citations
27
Authors
15
Institutions
Publications per year
2017–2026
0
Publications
27
Construction of Class Fields and Zeta Functions of Algebraic Curves
Goro Shimura · Annals of Mathematics · 1967 · 171 citations
Algebraic K-Theory and Classfield Theory for Arithmetic Surfaces
Spencer Bloch · Annals of Mathematics · 1981 · 88 citations
1–5 of 27
Authors
27
- GS
4
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- HC
2
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- BA
1
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- KK
1
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- DR
1
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1–5 of 27
Institutions
15
City College of New York
New York, United States
1 h-index
1 publications
12 citations
Harvard University Press
Cambridge, United States
1 h-index
1 publications
13 citations
University of Arizona
Tucson, United States
1 h-index
1 publications
40 citations
University of Vermont
Burlington, United States
1 h-index
3 publications
57 citations
Bloomsburg University
Bloomsburg, United States
1 h-index
1 publications
11 citations
Amirkabir University of Technology
Tehran, Iran
1 h-index
1 publications
12 citations
The University of Tokyo
Tokyo, Japan
1 h-index
1 publications
17 citations
Stanford University
Stanford, United States
1 h-index
1 publications
13 citations
1–8 of 15
Venues
- Journal of Number Theory
4 publications · 133 citations
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- Annals of Mathematics
4 publications · 361 citations
4
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- Mathematics of Computation
MCOM · 3 publications · 122 citations
3
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- Transactions of the American Mathematical Society
TRAN · 2 publications · 265 citations
2
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- Proceedings of the American Mathematical Society
PROC · 2 publications · 143 citations
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