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math.AG2022
On some birational invariants of hyper-Kähler manifolds
Chenyu Bai
We study in this article three birational invariants of projective hyper-Kähler manifolds: the degree of irrationality, the fibering gonality and the fibering genus. We first impro…
math.AG2022
On Abel-Jacobi Maps of Lagrangian Families
Chenyu Bai
We study in this article the cohomological properties of Lagrangian families on projective hyper-Kähler manifolds. First, we give a criterion for the vanishing of Abel-Jacobi maps…