131 citations · 614 across the 48 of their papers we have counts for
50 papers
Vertex Algebras and Commutative Algebras
Bong H. Lian, Andrew R. Linshaw
This paper begins with a brief survey of the period prior to and soon after the creation of the theory of vertex operator algebras (VOAs). This survey is intended to highlight some…
-adic Tautological Systems
Lei Fu, An Huang, Bong Lian +3
Tautological systems was introduced in Lian-Yau as the system of differential equations satisfied by period integrals of hyperplane sections of some complex projective homogenous v…
On Calabi--Yau fractional complete intersections
Tsung-Ju Lee, Bong H. Lian, Shing-Tung Yau
In this article, we study mirror symmetry for pairs of singular Calabi--Yau manifolds which are double covers of toric manifolds. Their period integrals can be seen as certain `fra…
On a conjecture of Huang--Lian--Yau--Yu
Tsung-Ju Lee, Bong Lian, Dingxin Zhang
We verify a formula on the solution rank of the tautological system arising from ample complete intersections in a projective homogeneous space of a semisimple group conjectured by…
Mirror symmetry for double cover Calabi--Yau varieties
Shinobu Hosono, Tsung-Ju Lee, Bong H. Lian +1
The presented paper is a continuation of the series of papers arXiv:1810.00606 and arXiv:1903.09373. In this paper, utilizing Batyrev and Borisov's duality construction on nef-part…
K3 surfaces from configurations of six lines in and mirror symmetry II --- -functions ---
Shinobu Hosono, Bong Lian, Shing-Tung Yau
We continue our study on the hypergeometric system which describes period integrals of the double cover family of K3 surfaces. Near certain special boundary points in the…