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 53, Number 1

#### Publication Date: March 1986

Proof of the Arnold conjecture for surfaces and generalizations to certain Kähler manifolds

Andreas Floer; 1-32

On a problem of Chisini

F. Catanese; 33-42

Oscillatory integrals and spherical harmonics

Christopher D. Sogge; 43-65

Weak global Torelli theorem for certain weighted projective hypersurfaces

Masa-Hiko Saito; 67-111

On a remark of O’Neill

Akhil Ranjan; 113-115

On the Picard group of the moduli space for $k-3$ surfaces

Kieran G. O’Grady; 117-124

Progressing wave solutions to certain nonlinear mixed problems

Michael Beals and Guy Metivier; 125-137

The Gelfand-Naimark theorem for $JB^\ast$-triples

Yaakov Friedman and Bernard Russo; 139-148

Zariski decomposition of divisors on algebraic varieties

Steven D. Cutkosky; 149-156

Torsion points on elliptic curves over all quadratic fields

S. Kamienny; 157-162

The explicit reciprocity law in local class field theory

Ehud de Shalit; 163-176

Orbits of horospherical flows

S. G. Dani; 177-188

Maximal operators related to the Radon transform and the Calderon-Zygmund method of rotations

Michael Christ, Javier Duoandikoetxea and José L. Rubio de Francia; 189-209

Rigidity of real Kaehler submanifolds

Marcos Dajczer and Lucio Rodriguez; 211-220

Quadratic vector classes on Riemann surfaces

Eric Robert Jablow; 221-232

How well can an $n \times n$ matrix be approximated by reducible ones?

Domingo A. Herrero and Stanislaw J. Szarek; 233-248

Gaussian behavior of loop-erased self-avoiding random walk in four dimensions

Gregory F. Lawler; 249-269

Continuity and nodal properties near infinity for solutions of $2$-dimensional Schrödinger equations

Maria Hoffmann-Ostenhof, Thomas Hoffmann-Ostenhof and Jörg Swetina; 271-306