A Characterization of regular points by $L^2$ Extension Theorem

Abstract

In this article, we present that the germ of a complex analytic set at the origin in ${\mathbb{C}}^n$ is regular if and only if the related $L^2$ extension theorem holds. We also obtain a necessary condition of the $L^2$ extension of bounded holomorphic sections from singular analytic sets.

5 pages, all comments are welcome

References in corpus (1)

• Strong openness conjecture for plurisubharmonic functions