This volume began as the last part of a one-term graduate course given at the Fields Institute for Research in the Mathematical Sciences in the Autumn of 1993. The course was one of four associated with the 1993-94 Fields Institute programme, which I helped to organise, entitled "Artin L-functions". Published as [132]' the final chapter of the course introduced a manner in which to construct class-group valued invariants from Galois actions on the algebraic K-groups, in dimensions two and three, of number rings. These invariants were inspired by the analogous Chin burg invariants of [34], which correspond to dimensions zero and one. The classical Chinburg invariants measure the Galois structure of classical objects such as units in rings of algebraic integers. However, at the "Galois Module Structure" workshop in February 1994, discussions about my invariant (0,1 (L/ K, 3) in the notation of Chapter 5) after my lecture revealed that a number of other higher-dimensional co homological and motivic invariants of a similar nature were beginning to surface in the work of several authors. Encouraged by this trend and convinced that K-theory is the archetypical motivic cohomology theory, I gratefully took the opportunity of collaboration on computing and generalizing these K-theoretic invariants. These generalizations took several forms - local and global, for example - as I followed part of number theory and the prevalent trends in the "Galois Module Structure" arithmetic geometry.
Produktkennzeichnungen
ISBN-10
3764367172
ISBN-13
9783764367176
eBay Product ID (ePID)
161850386
Produkt Hauptmerkmale
Produktart
Lehrbuch
Sprache
Englisch
Anzahl der Seiten
324 Seiten
Verlag
Birkhäuser Basel, Springer Basel
Publikationsname
Algebraic K-Groups As Galois Modules
Autor
Victor P. Snaith
Format
Gebundene Ausgabe
Erscheinungsjahr
2002
Zusätzliche Produkteigenschaften
Hörbuch
No
Inhaltsbeschreibung
Hc Runder Rücken Kaschiert
Item Length
24cm
Item Height
2cm
Item Width
16cm
Nummer Innerhalb der Serie
206
Buchreihe
Progress in Mathematics
Item Weight
653g
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