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Aggiungi al carrelloTaschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The goal of this book is to present local class field theory from the cohomo logical point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. This theory is about extensions-primarily abelian-of 'local' (i.e., complete for a discrete valuation) fields with finite residue field. For example, such fields are obtained by completing an algebraic number field; that is one of the aspects of 'localisation'. The chapters are grouped in 'parts'. There are three preliminary parts: the first two on the general theory of local fields, the third on group coho mology. Local class field theory, strictly speaking, does not appear until the fourth part. Here is a more precise outline of the contents of these four parts: The first contains basic definitions and results on discrete valuation rings, Dedekind domains (which are their 'globalisation') and the completion process. The prerequisite for this part is a knowledge of elementary notions of algebra and topology, which may be found for instance in Bourbaki. The second part is concerned with ramification phenomena (different, discriminant, ramification groups, Artin representation). Just as in the first part, no assumptions are made here about the residue fields. It is in this setting that the 'norm' map is studied; I have expressed the results in terms of 'additive polynomials' and of 'multiplicative polynomials', since using the language of algebraic geometry would have led me too far astray.
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Aggiungi al carrelloTaschenbuch. Condizione: Neu. Local Fields | Jean-Pierre Serre | Taschenbuch | Graduate Texts in Mathematics | viii | Englisch | 2013 | Springer | EAN 9781475756753 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Lingua: Inglese
Editore: Springer New York Mai 2013, 2013
ISBN 10: 1475756755 ISBN 13: 9781475756753
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Aggiungi al carrelloTaschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The goal of this book is to present local class field theory from the cohomo logical point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. This theory is about extensions-primarily abelian-of 'local' (i.e., complete for a discrete valuation) fields with finite residue field. For example, such fields are obtained by completing an algebraic number field; that is one of the aspects of 'localisation'. The chapters are grouped in 'parts'. There are three preliminary parts: the first two on the general theory of local fields, the third on group coho mology. Local class field theory, strictly speaking, does not appear until the fourth part. Here is a more precise outline of the contents of these four parts: The first contains basic definitions and results on discrete valuation rings, Dedekind domains (which are their 'globalisation') and the completion process. The prerequisite for this part is a knowledge of elementary notions of algebra and topology, which may be found for instance in Bourbaki. The second part is concerned with ramification phenomena (different, discriminant, ramification groups, Artin representation). Just as in the first part, no assumptions are made here about the residue fields. It is in this setting that the 'norm' map is studied; I have expressed the results in terms of 'additive polynomials' and of 'multiplicative polynomials', since using the language of algebraic geometry would have led me too far astray. 256 pp. Englisch.
Lingua: Inglese
Editore: Springer-Verlag New York Inc., 2013
ISBN 10: 1475756755 ISBN 13: 9781475756753
Da: THE SAINT BOOKSTORE, Southport, Regno Unito
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Aggiungi al carrelloPaperback / softback. Condizione: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days.
Lingua: Inglese
Editore: Springer, Springer Mai 2013, 2013
ISBN 10: 1475756755 ISBN 13: 9781475756753
Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
EUR 60,94
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Aggiungi al carrelloTaschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The goal of this book is to present local class field theory from the cohomo logical point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. This theory is about extensions-primarily abelian-of 'local' (i.e., complete for a discrete valuation) fields with finite residue field. For example, such fields are obtained by completing an algebraic number field; that is one of the aspects of 'localisation'. The chapters are grouped in 'parts'. There are three preliminary parts: the first two on the general theory of local fields, the third on group coho mology. Local class field theory, strictly speaking, does not appear until the fourth part. Here is a more precise outline of the contents of these four parts: The first contains basic definitions and results on discrete valuation rings, Dedekind domains (which are their 'globalisation') and the completion process. The prerequisite for this part is a knowledge of elementary notions of algebra and topology, which may be found for instance in Bourbaki. The second part is concerned with ramification phenomena (different, discriminant, ramification groups, Artin representation). Just as in the first part, no assumptions are made here about the residue fields. It is in this setting that the 'norm' map is studied; I have expressed the results in terms of 'additive polynomials' and of 'multiplicative polynomials', since using the language of algebraic geometry would have led me too far astray.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 256 pp. Englisch.