Title: Treves curves and the Szego kernel

Authors: Gabor Francsics and Nicholas Hanges

Issue: Volume 47 (1998), Issue 3, 995-1010

Abstract: The main objective here is the calculation of the off diagonal microlocal singularities of $\mathcal{S}$, the Szeg\"o kernel of the domain $\mathcal{D} = \{(z,w) \in \mathbb{C}^2 : \mathfrak{I}w > (\mathfrak{R}z)^m\}$. Here $M$ is a positive, even integer. The analytic and Gevrey wave front sets of $\mathcal{S}$ are described precisely in terms of the Treves curves. These curves are determined by the symplectic geometry of the natural CR structure on the boundary of $\mathcal{D}$.