>>78
>long lineは一つしかなくて固有名詞
>long C^nはたくさんあってshort C^kもある

なるほど
しかし、御大のなぞかけは 素人にはむずいね

(google検索)：long C^n short C^k math
で 下記がヒットしたぞ
中身は じゅげむのお経ですが、貼りますね

Kobayashi metric vanishes
Bergman spaces
pseudo-convex
the Runge Short C^k's　か
どのキーワードも サッパリ妖精ですが・・ （＾＾

(参考)
https://arxiv.org/abs/2104.12413
Mathematics > Complex Variables
[Submitted on 26 Apr 2021]
Notes on Short C^k's
John Erik Fornaess, Ratna Pal
Domains that are increasing union of balls (up to biholomorphism) and on which the Kobayashi metric vanishes identically arise inexorably in complex analysis. In this article we show that in higher dimensions these domains have infinite volume and the Bergman spaces of these domains are trivial. As a consequence they fail to be strictly pseudo-convex at each of their boundary points although these domains are pseudo-convex by definition. These domains can be of different types and one of them is Short C^k's.
In pursuit of identifying the Runge Short C^k's (up to biholomorphism), we introduce a special class of Short C^k's, called Loewner Short C^k's. These are those Short C^k's which can be exhausted in a continuous manner by a strictly increasing parametrized family of open sets, each of which is biholomrphically equivalent to the unit ball and therefore, they are Runge up to biholomorphism. Although, the question of whether all Short C^k's are Runge (up to biholomorphism), or whether all Short C^k's are Loewner remains unsettled, we show that the typical Short C^k's are Loewner. In the final section, we construct a bunch of non-autonomous basins of attraction, which serve as interesting examples of Short C^k's.