Generalized Etale Cohomology Theories di John F. Jardine edito da Springer Basel AG
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Generalized Etale Cohomology Theories

EAN:

9783034800655

ISBN:

3034800657

Pagine:
317
Formato:
Paperback
Lingua:
Tedesco
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Descrizione Generalized Etale Cohomology Theories

A generalized etale cohomology theory is a theory which is represented by a presheaf of spectra on an etale site for an algebraic variety, in analogy with the way an ordinary spectrum represents a cohomology theory for spaces. Examples include etale cohomology and etale K-theory. This book gives new and complete proofs of both Thomason's descent theorem for Bott periodic K-theory and the Nisnevich descent theorem. In doing so, it exposes most of the major ideas of the homotopy theory of presheaves of spectra, and generalized etale homology theories in particular. The treatment includes, for the purpose of adequately dealing with cup product structures, a development of stable homotopy theory for n-fold spectra, which is then promoted to the level of presheaves of n-fold spectra.

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