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math.CV2026
A Hopf Lemma for Holomorphic Maps into Hyperquadrics
Xiaojun Huang, Yuan Zhang, Weixia Zhu
More than twenty years ago, Baouendi and the first author proved that a holomorphic map between hyperquadrics of the same signature is either totally degenerate or has a nonvanishi…
math.CV2026
Semi-classical heat kernel asymptotics on complex manifolds with boundary
Chin-Yu Hsiao, George Marinescu, Weixia Zhu
Let be a relatively compact open subset of a complex manifold with smooth boundary and let be a holomorphic line bundle over . Assuming that condition h…