论文标题

复合物2盘上有界的异晶函数

Bounded meromorphic functions on the complex 2-disc

论文作者

Kollár, János

论文摘要

我们描述了在复杂的2盘上的有界的,全态的功能,该功能接收到较大的2盘的杂种延伸。这解决了Bickel,Knese,Pascoe和Sola的猜想。关键的技术成分是Zariski的旧定理,介绍了二维常规环中整体封闭的理想。 V2:备注15。

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.

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