We provide a new way of simultaneously parametrizing arbitrary local CR maps from real-analytic generic manifolds $M \subset \mathbb{C}^N$ into spheres $\mathbb{S}^{2N'-1} \subset \mathbb{C}^{N'}$ of any dimension. The parametrization is obtained as a composition of universal rational maps with a holomorphic map depending only on $M$. As applications, we obtain rigidity results of different flavours such as unique jet determination and global extension of local CR maps. This is joint work with D. Zaitsev.
Unique jet determination and extension of germs of CR maps into spheres
19.11.2020 09:00 - 10:30
Organiser:
Bernhard Lamel
Location:
Zoom