Schmidt, Alexander
(2005)
*Tame class field theory for arithmetic schemes.*
Inventiones Mathematicae 160 (3), 527 -565 .

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## Abstract

Takagi's class field theory gave a decription of the abelian extensions of a number field $K$ in terms of ideal groups in $K$. In the 1980s, {\it K. Kato} and {\it S. Saito} [``Global class field theory of arithmetic schemes". Applications of algebraic K-theory to algebraic geometry and number theory, Proc. AMS-IMS-SIAM Joint Summer Res. Conf., Boulder/Colo. 1983, Part I, Contemp. Math. 55, ...

## Export bibliographical data

Item Type: | Article |
---|---|

Date: | 2005 |

Institutions: | Mathematics > Prof. Dr. Alexander Schmidt |

Keywords: | class field theory; higher dimensional fields; arithmetic schemes; Chow group; zero cycles; fundamental group |

Subjects: | 500 Science > 510 Mathematics |

Status: | Published |

Refereed: | Unknown |

Created at the University of Regensburg: | Yes |

Owner: | Petra Gürster |

Deposited On: | 27 Nov 2009 06:52 |

Last Modified: | 13 Mar 2014 12:07 |

Item ID: | 10986 |

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