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math.AG2024
Irreducible symplectic varieties with a large second Betti number
Yuchen Liu, Zhiyu Liu, Chenyang Xu
We prove a general result on the existence of irreducible symplectic compactifications of non-compact Lagrangian fibrations. As an application, we show that the relative Jacobian f…
math.AG2024★ 1 cited
A note on Kollár valuations
Yuchen Liu, Chenyang Xu
We prove the set of Kollár valuations in the dual complex of a klt singularity with a fixed complement is path connected. We also classify the case when the dual complex is one dim…