Showing math.AGShow all
2 papers · 1 filter
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…