Download E-books Generalized Etale Cohomology Theories (Modern Birkhäuser Classics) PDF

A generalized etale cohomology concept is a concept that is represented by way of a presheaf of spectra on an etale website for an algebraic sort, in analogy with the way in which a standard spectrum represents a cohomology thought for areas. Examples comprise etale cohomology and etale K-theory. This e-book offers new and entire proofs of either Thomason's descent theorem for Bott periodic K-theory and the Nisnevich descent theorem. In doing so, it exposes many of the significant principles of the homotopy idea of presheaves of spectra, and generalized etale homology theories particularly. The remedy comprises, for the aim of properly facing cup product buildings, a improvement of reliable homotopy thought for n-fold spectra, that's then promoted to the extent of presheaves of n-fold spectra.


This e-book will be of curiosity to all researchers operating in fields with regards to algebraic K-theory. The ideas offered listed here are basically combinatorial, and for this reason algebraic. an in depth historical past in conventional reliable homotopy idea isn't assumed.


------  stories

(...) in constructing the concepts of the topic, introduces the reader to the solid homotopy type of simplicial presheaves. (...) This ebook presents the consumer with the 1st whole account that is delicate sufficient to be suitable with this kind of closed version type invaluable in K-theory functions (...). As an program of the strategies the writer supplies proofs of the descent theorems of R. W. Thomason and Y. A. Nisnevich. (...) The e-book concludes with a dialogue of the Lichtenbaum-Quillen conjecture (an approximation to Thomason's theorem with out Bott periodicity). the new facts of this conjecture, through V. Voevodsky, (...) makes this quantity obligatory examining for all who are looking to be au fait with present developments in algebraic K-theory!

- Zentralblatt MATH


The presentation of those issues is very unique. The booklet might be very worthwhile for any researcher attracted to topics concerning algebraic K-theory.

- Matematica

Show description

Read Online or Download Generalized Etale Cohomology Theories (Modern Birkhäuser Classics) PDF

Best Algebraic Geometry books

Algebraic Geometry and Arithmetic Curves (Oxford Graduate Texts in Mathematics)

This new-in-paperback variation presents a common creation to algebraic and mathematics geometry, beginning with the speculation of schemes, via functions to mathematics surfaces and to the speculation of aid of algebraic curves. the 1st half introduces uncomplicated items resembling schemes, morphisms, base swap, neighborhood houses (normality, regularity, Zariski's major Theorem).

Essays in Constructive Mathematics

Contents and remedy are clean and intensely varied from the normal remedies offers a completely optimistic model of what it ability to do algebra The exposition isn't just transparent, it's pleasant, philosophical, and thoughtful even to the main naive or green reader

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics)

First textbook-level account of uncomplicated examples and strategies during this quarter. compatible for self-study through a reader who understands a bit commutative algebra and algebraic geometry already. David Eisenbud is a widely known mathematician and present president of the yankee Mathematical Society, in addition to a profitable Springer writer.

Ramanujan's Lost Notebook: Part I (Pt. 1)

Within the library at Trinity university, Cambridge in 1976, George Andrews of Pennsylvania country collage chanced on a sheaf of pages within the handwriting of Srinivasa Ramanujan. quickly distinctive as "Ramanujan’s misplaced Notebook," it includes massive fabric on mock theta features and certainly dates from the final yr of Ramanujan’s lifestyles.

Additional resources for Generalized Etale Cohomology Theories (Modern Birkhäuser Classics)

Show sample text content

Rated 4.85 of 5 – based on 9 votes