Local Fields | |
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Author(s) | Jean-Pierre Serre |
Original title | Corps Locaux |
Country | France |
Language | English |
Genre(s) | Algebraic Number Theory |
Publisher | Springer |
Publication date | 1980 |
Media type | Book |
Pages | 241 |
ISBN | 9780387904245 |
OCLC Number | 4933106 |
Local Fields, or Corps Locaux as originally published in the French, is a seminal graduate-level algebraic number theory textbook by Jean-Pierre Serre covering local fields, ramification, group cohomology, and local class field theory. The book's end goal is to present local class field theory from the cohomological point of view. This theory concerns extensions of "local" (i.e., complete for a discrete valuation) fields with finite residue field.