Bin Xu

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20232026

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math-ph2026

Reduced Solutions of Toda Systems for Arbitrary Complex Simple Lie Algebras

Yiqian Shi, Chunhui Wei, Bin Xu

We study reduced solutions of Toda systems generated by spherical metrics for an arbitrary complex simple Lie algebra. The main result is an intrinsic centralizer parametrization:…

math.DG2026

Polynomial area growth for special Kähler metrics

Yiqian Shi, Ke Wang, Bin Xu

Let $g = w ∣ d z ∣^{2}$ be an affine special Kähler metric on a punctured disc and let $Ξ = q (z) d z^{3}$ be its associated holomorphic cubic differential. We prove that if the $g$ -area of con…