Feng Shao

activity

20202026

most citedOn pseudoeffective thresholds and cohomology of twisted symmetric tensor fields on irreducible Hermitian symmetric spaces

3 citations · 8 across the 6 of their papers we have counts for

collaborators

6 papers

math.AP2026

Proof of the planar Khavinson-Shapiro conjecture

Feng Shao, Weicheng Zhan

Let $Ω \subset R^{2}$ be a bounded domain whose boundary is a finite union of pairwise disjoint Jordan curves. We prove the planar Khavinson--Shapiro conjecture in this settin…

math.AG2023

Bigness of tangent bundles and dynamical rigidity of Fano manifolds of Picard number 1 (with an appendix by Jie Liu)

Feng Shao, Guolei Zhong

Let $f : X \to Y$ be a surjective morphism of Fano manifolds of Picard number 1 whose VMRTs at a general point are not dual defective. Suppose that the tangent bundle $T_{X}$ is b…

math.AP2023★ 1 cited

Self-similar algebraic spiral solution of 2-D incompressible Euler equations

Feng Shao, Dongyi Wei, Zhifei Zhang

In this paper, we prove the existence of self-similar algebraic spiral solutions for 2-D incompressible Euler equations for the initial vorticity of the form $|y|^{-\frac1μ}\ \math…

math.AG2022★ 2 cited

Boundedness of finite morphisms onto Fano manifolds with large Fano index

Feng Shao, Guolei Zhong

Let $f : Y \to X$ be a finite morphism between Fano manifolds $Y$ and $X$ such that the Fano index of $X$ is greater than 1. On the one hand, when both $X$ and $Y$ are fourfolds of Pi…

math.AG2020★ 3 cited

On pseudoeffective thresholds and cohomology of twisted symmetric tensor fields on irreducible Hermitian symmetric spaces

Feng Shao

Let $X$ be an irreducible Hermitian symmetric space of compact type (IHSS for short). In this paper, we give the irreducible decomposition of $S y m^{r} T_{X}$ . As a by-product, we give…

math.AG2020★ 2 cited

Examples of Fano manifolds with non-pseudoeffective tangent bundle

Andreas Höring, Jie Liu, Feng Shao

Let $X$ be a Fano manifold. While the properties of the anticanonical divisor $- K_{X}$ and its multiples have been studied by many authors, the positivity of the tangent bundle $T_{X}$ …