3 papers
math.DG2026
On the Chern-Ricci form of a twisted almost Kähler structure
David N. Pham, Fei Ye
Let be an almost Kähler manifold. For any smooth function on , one can associate an automorphism $Ï\in \mbox{Aut}(TM)$ for which the Kähler form is invariant…
math.AG2026
On Vanishing Theorems and Bogomolov's Inequality on Surfaces in Positive Characteristic
Fei Ye, Zhixian Zhu
In this paper, we study the equivalence between Bogomolov's instability theorem and the Miyaoka-Sakai theorem on surfaces in positive characteristic. We show that Bogomolov's insta…
math.AG2025
On the Structure of Second Jacobian Ideals
Fei Ye
We show that the second Jacobian ideal of a hypersurface can be decomposed such that a power of the Jacobian ideal becomes a factor. As an application of the decomposition, we pres…