Generalized Etale Cohomology Theories
Series: Modern Birkha user Classics; Modern Birkha user classics
Publisher: Springer
Published: 2010
Place of publication: Dordrecht
Language: eng
Format: [electronic resource]
Number of pages: 322
ISBN-13: 9783034800662
Subjects: Mathematics; Algebraic Geometry; Homology theory
Description: 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 th.
Notes: Description based on print version record.