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20242026
most citedBoundedness of log Fano cone singularities and discreteness of local volumes

1 citations · 1 across the 4 of their papers we have counts for

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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

Boundedness of log Fano cone singularities and discreteness of local volumes

Chenyang Xu, Ziquan Zhuang

We prove that in any fixed dimension, K-semistable log Fano cone singularities whose volumes are bounded from below by a fixed positive number form a bounded set. As a consequence,…