78 citations · 211 across the 13 of their papers we have counts for
4 papers · 1 filter
Q-prime curvature on CR manifolds
Kengo Hirachi
Q-prime curvature, which was introduced by J. Case and P. Yang, is a local invariant of pseudo-hermitian structure on CR manifolds that can be defined only when the Q-curvature van…
Ambient metric construction of CR invariant differential operators
Kengo Hirachi
These notes are based on my lectures at IMA summer program "Symmetries and Overdetermined Systems of Partial Differential Equations." Here I try to explain basic ideas of the ambie…
Logarithmic singularity of the Szegö kernel and a global invariant of strictly pseudoconvex domains
Kengo Hirachi
The Szego kernel of a strictly pseudoconvex domain admits a singularity on the boundary diagonal, which consists of a pole and logarithmic type singularity. In this paper, we prove…
Construction of boundary invariants and the logarithmic singularity of the Bergman kernel
Kengo Hirachi
This paper studies Fefferman's program \cite{F3} of expressing the singularity of the Bergman kernel, for smoothly bounded strictly pseudoconvex domains $Ω\subset\C^n$, in terms of…