On the linearization stability of the Chern-scalar curvature
arXiv:2106.09990 · doi:10.1007/s00209-021-02956-8
Abstract
In this note, we study the local properties of the Chern-scalar curvature function by looking at its linearization. In particular, we study its linearization stability and the structure of the space of Hermitian metrics with prescribed Chern-scalar curvature.
In v2, the statement of Theorem C has been modified. 14 pages; comments are welcome