[May 7, 2007: A new version of the paper correcting minor errors has replaced the old one.]
[April 25, 2007: The former version of this paper posted April 18 under a different title has
been removed because of an error.]
The purpose of this article is to prove that Gersten's conjecture for
K_0-groups of a commutative regular local ring is true. As its applications, we
will obtain the vanishing conjecture for certain Chow groups, generator
conjecture for certain K-groups.