Cohomology of number fields

The second edition is a corrected and extended version of the first. It is a textbook for students, as well as a reference book for the working mathematician, on cohomological topics in number theory. The first part provides algebraic background: cohomology of profinite groups, duality groups, free...

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Detalles Bibliográficos
Autores principales: Neukirch, Jürgen, Schmidt, Alexander, Wingberg, Kay
Lenguaje:eng
Publicado: Springer 2013
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-540-37889-1
http://cds.cern.ch/record/1625558
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author Neukirch, Jürgen
Schmidt, Alexander
Wingberg, Kay
author_facet Neukirch, Jürgen
Schmidt, Alexander
Wingberg, Kay
author_sort Neukirch, Jürgen
collection CERN
description The second edition is a corrected and extended version of the first. It is a textbook for students, as well as a reference book for the working mathematician, on cohomological topics in number theory. The first part provides algebraic background: cohomology of profinite groups, duality groups, free products, and homotopy theory of modules, with new sections on spectral sequences and on Tate cohomology of profinite groups. The second part deals with Galois groups of local and global fields: Tate duality, structure of absolute Galois groups of local fields, extensions with restricted ramificatio
id cern-1625558
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2013
publisher Springer
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spelling cern-16255582021-04-21T21:41:54Zdoi:10.1007/978-3-540-37889-1http://cds.cern.ch/record/1625558engNeukirch, JürgenSchmidt, AlexanderWingberg, KayCohomology of number fieldsMathematical Physics and MathematicsThe second edition is a corrected and extended version of the first. It is a textbook for students, as well as a reference book for the working mathematician, on cohomological topics in number theory. The first part provides algebraic background: cohomology of profinite groups, duality groups, free products, and homotopy theory of modules, with new sections on spectral sequences and on Tate cohomology of profinite groups. The second part deals with Galois groups of local and global fields: Tate duality, structure of absolute Galois groups of local fields, extensions with restricted ramificatioSpringeroai:cds.cern.ch:16255582013
spellingShingle Mathematical Physics and Mathematics
Neukirch, Jürgen
Schmidt, Alexander
Wingberg, Kay
Cohomology of number fields
title Cohomology of number fields
title_full Cohomology of number fields
title_fullStr Cohomology of number fields
title_full_unstemmed Cohomology of number fields
title_short Cohomology of number fields
title_sort cohomology of number fields
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-540-37889-1
http://cds.cern.ch/record/1625558
work_keys_str_mv AT neukirchjurgen cohomologyofnumberfields
AT schmidtalexander cohomologyofnumberfields
AT wingbergkay cohomologyofnumberfields

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