Volume 114, Issue 2 – September 1981

## An ordinal $L^p$-index for Banach spaces, with application to complemented subspaces of $L^p$

Pages 193-228 by Jean Bourgain, Haskell Paul Rosenthal, Gideon Schechtman

## Algebraic $K$-theory and classfield theory for arithmetic surfaces

Pages 229-265 by Spencer Bloch

## Rational surfaces with an anti-canonical cycle

Pages 267-322 by Eduard Looijenga

## The Syzygy problem

Pages 323-333 by E. Graham Evans, Phillip Griffith

## The embedding of $2$-locals in finite groups of characteristic $2$-type. I

Pages 335-404 by Michael Aschbacher, Daniel Gorenstein, Richard Lyons

## The embedding of $2$-locals in finite groups of characteristic $2$-type. II

Pages 405-456 by Michael Aschbacher, Daniel Gorenstein, Richard Lyons