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 1

#### Publication Date: July 1994

The smooth classification of elliptic surfaces with $b^+>1$

András Stipsicz and Zoltán Szabó; 1-50

A computation of Green functions for the weighted biharmonic operators $\Delta|z|^{-2\alpha}\Delta$, with $\alpha>-1$

Per Jan Håkan Hedenmalm; 51-78

Evolving plane curves by curvature in relative geometries II

Michael E. Gage and Yi Li; 79-98

Log abundance theorem for threefolds

Sean Keel, Kenji Matsuki and James McKernan; 99-119

On the zeta functions of Shimura varieties and periods of Hilbert modular forms

Hiroyuki Yoshida; 121-191

Unitary representations of Brieskorn spheres

Hans U. Boden; 193-220

Méthode des fibrations et obstruction de Manin

David Harari; 221-260