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math.DG2023
Monge-Ampère type equation on compact Hermitian manifolds
Yinji Li, Genglong Lin, Xiangyu Zhou
Given a cohomology -class of compact Hermitian manifold possessing a bounded potential and fixed a model potential , motivated by Darvas-Di Nezza-Lu and L…
math.CV2023
A note on Demailly's transcendental Morse inequalities conjecture
Yinji Li, Zhiwei Wang, Xiangyu Zhou
Let be an -dimensional compact Hermitian manifold with a pluriclosed Hermitian metric, i.e. . Let be two nef clas…
math.CV2023
Approximation and extension of Hermitian metrics on holomorphic vector bundles over Stein manifolds
Fusheng Deng, Jiafu Ning, Zhiwei Wang +1
We show that a singular Hermitian metric on a holomorphic vector bundle over a Stein manifold which is negative in the sense of Griffiths (resp. Nakano) can be approximated by a se…