3 papers
math.AG2026
Local inequalities for and singularities
Chi-Kang Chang, Jheng-Jie Chen, Takuzo Okada
We obtain inequalities for isolated and singularities, analogues of the -inequality for isolated singularity in \cite{KOP}. These inequ…
math.AG2023
Generalized Nonvanishing Conjecture and Iitaka Conjecture
Chi-Kang Chang
In this article, we will prove the Generalized Nonvanishing Conjecture holds for threefolds with either or . As a result, we can prove the Iitaka conjecture ho…
math.AG2023
On the superadditivity of anticanonical Iitaka dimension
Marta Benozzo, Iacopo Brivio, Chi-Kang Chang
Given a fibration with normal general fibre , over a field of any characteristic, we establish the Iitaka-type inequality $κ(X,-K_X) \leq κ(X_y,-K_{X_y})+κ(Y,-K_Y…