2 citations · 3 across the 6 of their papers we have counts for
6 papers
Quantitativity on the number of rational points in the Mordell conjecture
Jiawei Yu, Xinyi Yuan, Shengxuan Zhou
In this paper, we prove an explicit upper bound on the number of rational points on a smooth projective curve of genus at least two over a number field. This gives explicit constan…
Regularity of Second-Order Elliptic PDEs in Spectral Barron Spaces
Ziang Chen, Liqiang Huang, Mengxuan Yang +1
We establish a regularity theorem for second-order elliptic PDEs on in spectral Barron spaces. Under mild ellipticity and smallness assumptions, the solution gains…
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…
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 ,…
New exotic examples of Ricci limit spaces
Xilun Li, Shengxuan Zhou
For any integers , we construct a Ricci limit space such that for a fixed point, some tangent cones are and some are $\mathbb{R}^n…
On the Gromov-Hausdorff limits of Tori with Ricci conditions
Shengxuan Zhou
Let . In this paper, we construct a sequence of smooth Riemannian metrics on such that: (1) outside the standard Euclidean unit…