Hartogs 1906: in ℂⁿ for n ≥ 2, holomorphic function on shell extends to interior. Singularities cannot be isolated in complex dim ≥ 2 (unlike 1D Riemann removable). Drives study of pseudoconvexity + domains-of-holomorphy.
Hartogs 1906: in ℂⁿ for n ≥ 2, holomorphic function on shell extends to interior. Singularities cannot be isolated in complex dim ≥ 2 (unlike 1D Riemann removable). Drives study of pseudoconvexity + domains-of-holomorphy.