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 58, Number 3

#### Publication Date: June 1989

Algebraic varieties preserved by generic flows

Valery Lunts; 531-554

A short note on the evolution of a surface by its mean curvature

Matthew A. Grayson; 555-558

Transcendence and Drinfeld modules: several variables

Jing Yu; 559-575

Ondes semi-lineaires conormales par rapport a deux hypersurfaces transverses

B. Nadir and A. Piriou; 577-599

Classification of singular solutions of a nonlinear heat equation

S. Kamin, L. A. Peletier and J. L. Vazquez; 601-615

Heights in families of abelian varieties

William Green; 617-632

Construction of P.S.H. functions on weakly pseudoconvex domains

John Erik Fornaess and Nessim Sibony; 633-655

Inequality for the distortion function of invertible sheaves on abelian varieties

Shanyu Ji; 657-667

Variations of Hodge structure of maximal dimension

James A. Carlson, Aznif Kasparian and Domingo Toledo; 669-694

Poincaré series for $GL(3,\mathbf{R})$-Whittaker functions

Weighted sieves and twin prime type equations

E. Fouvry and F. Grupp; 731-748

Hyperbolic surfaces in $\mathbb{P}^3$

$L^p$-estimates on functions of the Laplace operator

Michael E. Taylor; 773-793

Closed geodesics in homology classes on surfaces of variable negative curvature

Steven P. Lalley; 795-821

Nonexistence of homotopy formula for $(0,1)$ forms on hypersurfaces in $\mathbb{C}^3$

Alexander Nagel and Jean Pierre Rosay; 823-827

On the construction of some complete metrics with exceptional holonomy

Robert L. Bryant and Simon M. Salamon; 829-850