C o n t e n t s
PART 1
Preface
Birational invariants, purity, and the Gersten conjecture
J.-L. COLLIOT-THELfeNE 1
A'-theory of simple algebras
A. S. MERKURJEV 65
Abelian class field theory of arithmetic schemes
WAYNE RASKIND 85
Brauer groups of invariant fields, geometrically negligible classes, an
equivariant Chow group, and unramified
H3
DAVID J. SALTMAN 189
Higher algebraic ^-theory
RICHARD G. SWAN 247
PART 2
Preface
On the Witt ring of elliptic curves
JO N KR . ARASON, RICHARD ELMAN, AND BILL JACOB 1
p-algebras over maximally complete fields (with an Appendix by
J.-P. Tignol)
ROBERTO ARAVIRE AND BILL JACOB 27
Weil's additive characters and class number parity
STELLA ROBERSON ASHFORD 51
Decomposition of positive definite integral quadratic forms as sums of
positive definite quadratic forms
R. BAEZA AND M. I. ICAZA 63
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