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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Pages (from-to) | 1-7 |
Number of pages | 7 |
Journal | Periodica Mathematica Hungarica |
Volume | 88 |
Issue number | 1 |
DOIs | |
State | Published - Mar 2024 |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- Integral closure
- Meromorphic function
- Polydisc