2 papers
math.DG2025
Structure of some mapping spaces
Liangzhao Zhang, Xiangyu Zhou
We prove that the path space of a differentiable manifold is diffeomorphic to a Fréchet space, endowing the path space with a linear structure. Furthermore, the base point preserv…
math.CV2024
On the subadditivity of generalized Kodaira dimensions
Bojie He, Xiangyu Zhou
The goals of this paper are of two aspects. Firstly, we introduce the notion of generalized numerical Kodaira dimension with multiplier ideal sheaf and establish the subadditivity…