Concepedia

Ray Class Fields

Ray Class Fields is a class of abelian extensions of a global field that are associated with ray class groups modulo a given conductor, thereby generalizing the Hilbert class field by incorporating specified ramification conditions at finitely many primes.

29

Publications

701

Citations

41

Authors

38

Institutions

Publications per year

2017–2026

5

Parents

Publications

29

Efficient quantum algorithms for computing class groups and solving the principal ideal problem in arbitrary degree number fields

Jean‐François Biasse, Fang Song · 2015 · 76 citations

, , +16

A new class of topological field theories and the Ray-Singer torsion

Matthias Blau, G.E. Thompson · Physics Letters B · 1989 · 67 citations

, , +14

Irreducibility of the Gorenstein loci of Hilbert schemes via ray families

Gianfranco Casnati, Joachim Jelisiejew, Roberto Notari · Algebra & Number Theory · 2015 · 39 citations · Full text

, , +9

Ray class fields of global function fields with many rational places

Roland Auer · Acta Arithmetica · 2000 · 37 citations · Full text

, , +13

CONSTRUCTION OF CLASS FIELDS OVER IMAGINARY QUADRATIC FIELDS AND APPLICATIONS

B. Cho, J. K. Koo · The Quarterly Journal of Mathematics · 2009 · 37 citations

, , +9

1–5 of 29

Authors

41

  1. GS
    Gene S. Kopp

    University of Bristol, United Kingdom

    2 publications · 48 citations

    2

    h-index

  2. CX
    Chaoping Xing

    Nanyang Technological University, Singapore

    2 publications · 22 citations

    2

    h-index

  3. JK
    Ja Kyung Koo

    Korea Advanced Institute of Science and Technology, South Korea

    2 publications · 25 citations

    2

    h-index

  4. DS
    David Solomon

    Michigan State University, United States

    1 publications · 17 citations

    1

    h-index

  5. GC
    Gianfranco Casnati

    University of Parma, Italy

    1 publications · 39 citations

    1

    h-index

1–5 of 41

Institutions

38

  1. University of Bristol

    Bristol, United Kingdom

    3 h-index

    3 publications

    73 citations

  2. University of Michigan

    Ann Arbor, United States

    2 h-index

    3 publications

    48 citations

  3. Heilbronn Institute for Mathematical Research

    Bristol, United Kingdom

    2 h-index

    2 publications

    48 citations

  4. Korea Advanced Institute of Science and Technology

    Daejeon, South Korea

    2 h-index

    2 publications

    51 citations

  5. Sorbonne Université

    Paris, France

    1 h-index

    1 publications

    67 citations

  6. National University of Singapore

    Singapore, Singapore

    1 h-index

    1 publications

    11 citations

  7. The University of Sydney

    Sydney, Australia

    1 h-index

    2 publications

    62 citations

  8. Perimeter Institute

    Waterloo, Canada

    1 h-index

    1 publications

    31 citations

1–8 of 38

Venues

  1. Acta Arithmetica

    3 publications · 83 citations

    3

    h-index

  2. Mathematics of Computation

    MCOM · 2 publications · 44 citations

    2

    h-index

  3. Algebra & Number Theory

    ANT · 2 publications · 64 citations

    2

    h-index

  4. Tohoku Mathematical Journal

    2 publications · 25 citations

    2

    h-index

  5. Journal of Algebra

    1 publications · 13 citations

    1

    h-index

1–5