000			01457cam a2200277 a 4500
001			vtls000000839
003			VRT
005			20250102224216.0
008			081020s1979 nyu | b 001 0 eng d
020			_a0387904247
020			_a3540904247 (Berlin)
039		9	_a202301151134 _bshakra _c202301031321 _dshakra _c201402040048 _dVLOAD _c201010231042 _dmalmash _y200810201421 _zNoora
050		0	_aQA247 _b.S4613 1979
100	1		_aSerre, Jean Pierre, _d1926- _937639
245	1	0	_aLocal fields / _cJean-Pierre Serre ; translated from the French by Martin Jay Greenberg.
260			_aNew York : _bSpringer-Verlag, _cc1979.
300			_aviii, 241 p. ; _c24 cm.
440		0	_aGraduate texts in mathematics ; _v67 _91563
500			_aIncludes index.
500			_aTranslation of Corps Locaux.
504			_aBibliography: p. 232-237.
520			_aContents: Basic results on discrete valuation rings, Dedekind domains, and completions.-Ramification theory: discriminant, different, ramification subgroups, Hasse-Arf theorem, Artin representations.-Group cohomology, with emphasis on arithmetical applications: theorems of Tate and Nakayama, Galois cohomology, class formations.-Local class field theory, presented from the cohomological point of view. The main result is the determination of the topological Galois group of the maximal abelian extension.
650		0	_aClass field theory. _937640
650		0	_aHomology theory. _937641
942			_2lcc _n0 _cBK
999			_c16702 _d16702