“Serre's Conjecture”, for the most part of the second half of the 20th century,-ferred to the
famous statement made by J.-P. Serre in 1955, to the effect that one did not know if? nitely …

We prove Bloch's formula for 0-cycles on affine schemes over algebraically closed fields. We
prove this formula also for projective schemes over algebraically closed fields which are …

We show that the Levine–Weibel Chow group of 0-cycles CH^ d (A) CH d (A) of a reduced
affine algebra A of dimension d ≥ 2 d≥ 2 over an algebraically closed field is torsion-free …

We begin with the statement of the Riemann-Roch theorem (IF), without denominators, for
Chow groups of zero cycles. Theorem 1.1 (| F, page 297|) Suppose X is a non-singular …

Let A be a commutative noetherian ring, containing a field k, with 1/2∈ k, dim⁡ A= d, and let
P be a projective A-module, with rank (P)= n. Let LO (P) denote the set of all pairs (I, ω) …

Suppose A is a commutative noetherian ring of dimension n, and L is a line bundle on Spec
(A). Suppose J is a local complete intersection ideal of height n and J=(f1,…, fn-1, fn)+ J2 …

Let $ R $ be a reduced real affine algebra of (Krull) dimension $ d\ge 2$ such that either $ R
$ has no real maximal ideals, or the intersection of all real maximal ideals in $ R $ has a …

Decomposition of Projective Modules Page 1 K-Theory 22: 393–400, 2001. c 2001 Kluwer
Academic Publishers. Printed in the Netherlands. 393 Decomposition of Projective Modules …

Homology sequence and excision theorem for Euler class group Page 1 Pacific Journal of
Mathematics HOMOLOGY SEQUENCE AND EXCISION THEOREM FOR EULER CLASS GROUP …

We show that the Levine-Weibel Chow group of 0-cycles $\CH^ d (A) $ of a reduced affine
algebra $ A $ of dimension $ d\ge 2$ over an algebraically closed field is torsion-free …