most citedA family of -manifolds with nonnegative Ricci curvature and prescribed asymptotic cone

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.DG2024★ 2 cited

A family of -manifolds with nonnegative Ricci curvature and prescribed asymptotic cone

Shengxuan Zhou

In this paper, we show that for any finite subgroup acting freely on , there exists a -dimensional complete Riemannian manifold with ${\rm Ric}_g…

math.CV2024

On the volume of Bergman spaces

Shengxuan Zhou

In this paper, we show that the Calabi volume and Mabuchi volume of Bergman spaces on the product of a projective manifold and a projective space is infinite. Our result is inspire…

math.DG2024

Examples of Ricci limit spaces with infinite holes

Shengxuan Zhou

Let , , and be an -dimensional smooth complete Riemannian manifold with . In this paper, we construct, for each given ,…

math.CV2023

Bergman kernels on degenerations

Linsheng Wang, Shengxuan Zhou

We introduce the fiberwise Bergman kernel for a flat family of polarized varieties over a Riemann surface, which extends the classical Bergman kernel defined on the reduced fibers.…