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 115, Number 2

#### Publication Date: 1 November 2002

Absolute and relative Gromov-Witten invariants of very ample hypersurfaces

Andreas Gathmann; 171-203

Multiplicités modulaires et représentations de ${\rm GL}\sb 2(\mathbf {Z}\sb p)$ et de ${\rm Gal}(\overline {\mathbf {Q}}\sb p/\mathbf {Q}\sb p)$ en $\ell=p$. Appendice par Guy Henniart. Sur l'unicité des types pour ${\rm GL}\sb 2$

Christophe Breuil and Ariane Mézard; 205-310

On the L2-cohomology of a convex cocompact hyperbolic manifold

Xiaodong Wang; 311-327

From local to global deformation quantization of Poisson manifolds

Alberto S. Cattaneo, Giovanni Felder and Lorenzo Tomassini; 329-352

Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation

L. Molinet, J.-C. Saut and N. Tzvetkov; 353-384

Nonexistence of blow-up solution with minimal L2-mass for the critical gKdV equation

Yvan Martel and Frank Merle; 385-408