Bounded meromorphic functions on the complex 2-disc
Complex Variables
2022-06-24 v2 Commutative Algebra
Algebraic Geometry
Abstract
We describe bounded, holomorphic functions on the complex 2-disc, that admit meromorphic extension to a larger 2-disc. This solves a conjecture of Bickel, Knese, Pascoe and Sola. The key technical ingredient is an old theorem of Zariski about integrally closed ideals in 2-dimensional regular rings. v2: Remark 15 is added.
Cite
@article{arxiv.2202.04043,
title = {Bounded meromorphic functions on the complex 2-disc},
author = {János Kollár},
journal= {arXiv preprint arXiv:2202.04043},
year = {2022}
}