4 papers
Scalar curvature on Kähler blow-ups and systolic inequalities
Zehao Sha, Jian Wang
In this paper, we develop the weighted level set method for a Kähler manifold admitting an almost holomorphic map to a possibly singular base , which is not uniruled.…
A Variational Characterization of Positive Scalar Curvature Kähler metrics
Zehao Sha
We introduce the prescribed scalar curvature measure equation on a compact Kähler manifold. For a Kähler class of positive total scalar curvature, we prove that the following are e…
The 2-systole on compact Kähler surfaces with positive scalar curvature
Zehao Sha
We study the 2-systole on compact Kähler surfaces of positive scalar curvature. For any such surface , we prove the sharp estimate $\min_X S(ω)\cdot\operatorname{sys}_2(ω)\l…
A 2-systolic inequality on non-rational compact Kähler surfaces with positive scalar curvature
Zehao Sha
In this note, we prove a 2-systolic inequality on compact positive scalar curvature Kähler surfaces admitting a nonconstant holomorphic map to a positive-genus compact Riemann surf…