Publications Influence

Share This Author

## An introduction to homological algebra

- C. Weibel
- Mathematics
- 1960

Preface 1. Generalities concerning modules 2. Tensor products and groups of homomorphisms 3. Categories and functors 4. Homology functors 5. Projective and injective modules 6. Derived functors 7.… Expand

## Lecture Notes On Motivic Cohomology

- C. Mazza, V. Voevodsky, C. Weibel
- Mathematics
- 2006

* Etale motivic theory: * Etale sheaves with transfers * The relative Picard group and Suslin's rigidity theorem * Derived tensor products $\mathbb{A}^1$-weak equivalence * Etale motivic cohomology… Expand

## Cyclic homology for schemes

- C. Weibel
- Mathematics
- 1996

Using hypercohomology, we can extend cyclic homology from algebras to all schemes over a ring k. By ‘extend’ we mean that the usual cyclic homology of any commutative algebra agrees with the cyclic… Expand

## TWO-PRIMARY ALGEBRAIC K-THEORY OF RINGS OF INTEGERS IN NUMBER FIELDS

- J. Rognes, C. Weibel, appendix by M. Kolster
- Mathematics
- 23 August 1999

In the early 1970’s, Lichtenbaum [L1, L2] made several distinct conjectures about the relation between the algebraic K-theory, étale cohomology and zeta function of a totally real number field F .… Expand

## Zero cycles and complete intersections on singular varieties.

(ii) We can utilize the group CH0(X, 7) to prove a new result about commutative algebra. Specifically, let A be a reduced 2-dimensional algebra fmitely generated over an algebraically closed field.… Expand

## A nonconnective delooping of algebraic K-theory

- E. Pedersen, C. Weibel
- Mathematics
- 1985

Given a ring R, it is known that the topological space BGl(R)+ is an infinite loop space. One way to construct an infinite loop structure is to consider the category F of free R-modules, or rather… Expand

## The norm residue isomorphism theorem

- C. Weibel
- Mathematics
- 2009

We provide a patch to complete the proof of the Voevodsky–Rost Theorem, that the norm residue map is an isomorphism. (This settles the motivic Bloch–Kato conjecture.)

## K-theory homology of spaces

- E. Pedersen, C. Weibel
- Mathematics
- 1989

Let KR be a nonconnective spectrum whose homotopy groups give the algebraic K-theory of the ring R. We give a description of the associated homology theory KR*(X) associated to KR. We also show that… Expand

## The K-Book: An Introduction to Algebraic K-Theory

- C. Weibel
- Mathematics
- 12 June 2013

Projective modules and vector bundles The Grothendieck group $K_0$ $K_1$ and $K_2$ of a ring Definitions of higher $K$-theory The fundamental theorems of higher $K$-theory The higher $K$-theory of… Expand

## Étale descent for hochschild and cyclic homology

AbstractIfB is an étale extension of ak-algebraA, we prove for Hochschild homology thatHH*(B)≅HH*(A)⊗AB. For Galois descent with groupG there is a similar result for cyclic homology:HC*≅HC*(B)G if… Expand

...

1

2

3

4

5

...