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 44, Number 4

#### Publication Date: December 1977

The rank of elliptic curves

Armand Brumer and Kenneth Kramer; 715-743

Totally geodesic submanifolds of symmetric spaces, I

Bang-yen Chen and Tadashi Nagano; 745-755

Integer points on a special cubic surface

Andrew Bremner; 757-765

Quasidiagonality in the Brown-Douglas-Fillmore theory

Donal P. O’Donovan; 767-776

Homotopy invariance of $\mathrm{Ext}(\mathcal{A})$

Norberto Salinas; 777-794

On the geometry of Grassmannians

Ron Y. Donagi; 795-837

Multiplication by the coordinate functions on the Hardy space of the unit sphere in $\mathbb{C}^n$

Nicholas P. Jewell; 839-851

Locally bounded topologies on global fields

Elizabeth Nichols and Jo-Ann Cohen; 853-862

A new criterion for scattering theory

Martin Schechter; 863-872

A family of smooth hyperbolic hypersurfaces in $\mathbb{P}_3$

Robert Brody and Mark Green; 873-874

Analytic subgroups of affine algebraic groups

Andy R. Magid; 875-882

Asymptotics of eigenvalue clusters for the Laplacian plus a potential

Alan Weinstein; 883-892

Domination of semigroups and generalization of Kato’s inequality

H. Hess, R. Schrader and D. A. Uhlenbrock; 893-904