Abstract
We describe bounded, holomorphic functions on the complex 2-disc that admit a 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.
Original language | English (US) |
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Journal | Periodica Mathematica Hungarica |
DOIs | |
State | Accepted/In press - 2023 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
Keywords
- Integral closure
- Meromorphic function
- Polydisc