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20132023
most citedHitchin fibrations, abelian surfaces, and the P=W conjecture

20 citations · 138 across the 26 of their papers we have counts for

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Showing 2018Show all

3 papers · 1 filter

math.AG2018

Topology of Lagrangian fibrations and Hodge theory of hyper-Kähler manifolds

Junliang Shen, Qizheng Yin

We establish a compact analog of the P = W conjecture. For a holomorphic symplectic variety with a Lagrangian fibration, we show that the perverse numbers associated with the fibra…

math.AG2018★ 5 cited

Perverse filtrations, Hilbert schemes, and the P=W conjecture for parabolic Higgs bundles

Junliang Shen, Zili Zhang

We prove de Cataldo-Hausel-Migliorini's P=W conjecture in arbitrary rank for parabolic Higgs bundles labeled by the affine Dynkin diagrams , , $\tilde{E}_…

math.AG2018★ 2 cited

Rational curves in holomorphic symplectic varieties and Gromov-Witten invariants

Georg Oberdieck, Junliang Shen, Qizheng Yin

We use Gromov-Witten theory to study rational curves in holomorphic symplectic varieties. We present a numerical criterion for the existence of uniruled divisors swept out by ratio…