collaborators

4 papers

math.AG2025

Note on Iitaka Conjecture

Houari Benammar Ammar

Let \( f: X \to Y \) be an algebraic fiber space, where \( X \) and \( Y \) are smooth projective varieties of dimensions \( n \) and \( m \), respectively. In \cite{Caopaun}, Cao…

math.AG2025

Trigonal Canonically Fibered Surfaces

Houari Benammar Ammar, Xi Chen, Nathan Grieve

We fix some gaps of a proof of Xiao's conjecture on canonically fibered surfaces of relative genus 5 by the second author. Our argument simplifies the original proof and gives a mu…

math.AG2025

Remarks on the Direct Image Sheaf of Logarithmic Pluricanonical Bundles and the Non-Vanishing Conjecture

Houari Benammar Ammar

By applying the Chen-Jiang decomposition, we prove that the non-vanishing conjecture holds for an lc pair \((X, Δ)\), where \(X\) is an irregular variety, provided it holds for low…

math.AG2024

Delta-invariant for projective bundles over a curve and K-semistability

Houari Benammar Ammar, Louis Massonnet, Chenxi Yin

Consider a vector bundle over a smooth curve . We compute the -invariant of all ample (-) line bundles on when is strictly Mumford semista…