A Hartogs type extension theorem for generalized (N,k)-crosses with pluripolar singularities

TL;DR

This paper establishes an extension theorem for separately holomorphic functions defined on generalized (N,k)-crosses with pluripolar singularities, broadening the scope of classical Hartogs extension results.

Contribution

It introduces a new extension theorem applicable to functions with pluripolar singularities on generalized (N,k)-crosses, expanding existing holomorphic extension theory.

Findings

Extension theorem for functions on generalized (N,k)-crosses with pluripolar singularities

Broader applicability of Hartogs type extension results

Enhanced understanding of separately holomorphic functions with singularities

Abstract

The aim of this paper is to present an extension theorem for the functions separately holomorphic on generalized (N,k)-crosses with pluripolar singularities.