Bin Xu

collaborators

4 papers

math.RT2026

On a geometric comparison of representations of complex and $p$ -adic $GL_{n}$

Taiwang Deng, Chang Huang, Bin Xu +1

In this paper, we use geometric methods to study the relations between admissible representations of $GL_{n} (C)$ and unramified representations of $\mathbf{GL}_m(\m…

math.DG2026

Local Models for Special KÃ¤hler Metric Singularities Along the Discriminant Locus of the $SL_{2} (C)$ Hitchin Base

Zhenxi Huang, Shuo Wang, Bin Xu

Freed (arXiv:hep-th/9712042) formulated special KÃ¤hler structures; in particular, the regular locus of the $SL_{2} (C)$ Hitchin base $B$ carries such a st…

math.DG2025

Complex structures of the Gibbons-Hawking ansatz with infinite topological type

Wenxin He, Bin Xu

In this paper, we study the complex structures of complete hyperkÃ¤hler four-manifolds of infinite topological type arising from the Gibbons-Hawking ansatz. We show that for almost…

math.DG2025

Counting Rational Curves and Standard Complex Structures on HyperKÃ¤hler ALE 4-manifolds

Yuanjiu Lyu, Bin Xu

All hyperKÃ¤hler ALE 4-manifolds with a given non-trivial finite group $I^$ in $S U (2)$ at infinity are parameterized by an open dense subset of a real linear space of dimension $3$ …

On a geometric comparison of representations of complex and p-adic GLn​

Local Models for Special KÃ¤hler Metric Singularities Along the Discriminant Locus of the SL2​(C) Hitchin Base

Complex structures of the Gibbons-Hawking ansatz with infinite topological type

Counting Rational Curves and Standard Complex Structures on HyperKÃ¤hler ALE 4-manifolds

On a geometric comparison of representations of complex and $p$ -adic $GL_{n}$

Local Models for Special KÃ¤hler Metric Singularities Along the Discriminant Locus of the $SL_{2} (C)$ Hitchin Base