Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. Without specializing in a small number of subject areas, it emphasizes the most active and influential areas of current mathematics.

### Volume 74, Number 2

#### Publication Date: May 1994

Lifting modular $\mod \ell$ representations

Fred Diamond and Richard Taylor; 253-269

A finiteness theorem for elliptic Calabi-Yau threefolds

Mark Gross; 271-299

Geometry of balls in nilpotent Lie groups

Ron Karidi; 301-317

The quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a strong homogeneous magnetic field

A. V. Sobolev; 319-429

On the critical values of $L$-functions of $GL(2)$ and $GL(2) \times GL(2)$

Haruzo Hida; 431-529

On the topology of nonnegatively curved simply connected $4$-manifolds with discrete symmetry

DaGang Yang; 531-545

On the topology of nonnegatively curved simply connected $4$-manifolds with continuous symmetry

Catherine Searle and DaGang Yang; 547-556

A generalization of the radiation condition of Sommerfeld for $N$-body Schrödinger operators

Hiroshi Isozaki; 557-584