2 papers
math.AG2025
Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes
Jiajun Hu, Jian Xiao
For free divisor classes on a smooth projective variety of dimension , the product of these free divisor classes induces a Lefschetz type operator acting on the Néron-Se…
math.AG2025
Positivity in the shadow of Hodge index theorem
Jiajun Hu, Jian Xiao
Taking a compact Kähler manifold as playground, we explore the powerfulness of Hodge index theorem. A main object is the Lorentzian classes on a compact Kähler manifold, behind whi…