Homotopic equivalence of rational proper holomorphic discs of bounded symmetric domains of type I

Abstract

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.