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 75, Number 2

#### Publication Date: August 1994

Irreducible modular representations of $\mathrm{GL}_2$ of a local field

L. Barthel and R. Livné; 261-292

On the Hodge structure of projective hypersurfaces in toric varieties

Victor V. Batyrev and David A. Cox; 293-338

Ideals of minors in free resolutions

David Eisenbud and Mark L. Green; 339-352

The Cauchy problem for hyperbolic operators of strong type

Kunihiko Kajitani, Seiichiro Wakabayashi and Tatsuo Nishitani; 353-408

Rational points on nonsingular cubic hypersurfaces

Christopher M. Skinner; 409-466

The topological group structure of algebraic cycles

Paulo Lima-Filho; 467-491

$2$-categories and $2$-knots

John E. Fischer, Jr.; 493-526

Correction to “Metric pinching of locally symmetric spaces”