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 55, Number 2

#### Publication Date: June 1987

Uniformization of attracting basins for exponential maps

Robert L. Devaney and Lisa R. Goldberg; 253-266

On Schottky and Koebe-like uniformizations

Dennis A. Hejhal; 267-286

Geodesics in homology classes

Ralph Phillips and Peter Sarnak; 287-297

Une classe de domaines pseudoconvexes

Nessim Sibony; 299-319

A theorem on refining division orders by the reverse lexicographic order

David Bayer and Michael Stillman; 321-328

Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators

C. E. Kenig, A. Ruiz and C. D. Sogge; 329-347

Determinants of Laplacians and a second limit formula in $\mathrm{GL}(3)$

Isaac Efrat; 349-360

On the construction of infinitely many congruence classes of imbedded closed minimal hypersurfaces in $S^n(1)$ for all $n \geq 3$

Wu-Yi Hsiang; 361-367

Perron’s method for Hamilton-Jacobi equations

Hitoshi Ishii; 369-384

Topology of unitary dual of nonarchimedean $\mathrm{GL} (n)$

A sharp Castelnuovo bound for smooth surfaces

Robert Lazarsfeld; 423-429

The Künneth theorem and the universal coefficient theorem for Kasparov’s generalized $K$-functor

Jonathan Rosenberg and Claude Schochet; 431-474

On the cuspidal cohomology of arithmetic subgroups of $\mathrm{SL}(2n)$ and the first Betti number of arithmetic $3$-manifolds

L. Clozel; 475-486