Abstract We characterize homotopy classes of rational proper holomorphic Shilov maps from the unit disc to bounded symmetric domains of type I through rational proper holomorphic Shilov discs. This characterization generalizes results of D'Angelo–Huo–Xiao and D'Angelo–Lebl, where the codomains are the unit balls.

中文翻译：

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I型有界对称域的有理真全纯圆盘的同伦等价

摘要 我们通过有理真全纯 Shilov 圆盘刻画了从单位圆盘到 I 型有界对称域的有理真全纯 Shilov 映射的同伦类。这种表征概括了 D'Angelo-Huo-Xiao 和 D'Angelo-Lebl 的结果，其中 codomains 是单位球。