4 citations · 6 across the 11 of their papers we have counts for
10 papers · 1 filter
Twisted GKZ hypergeometric functions and relative cohomology
Tsung-Ju Lee, Dingxin Zhang
We investigate the GKZ -hypergeometric -modules, introduced by Gel'fand, Kapranov, and Zelevinskii, arising from cyclic covers of toric varieties and find its Riema…
Mirror duality between Calabi-Yau fractional complete intersections
Tsung-Ju Lee
This is an expanded version of the author's talk at the third annual meeting of International Consortium of Chinese Mathematicians held at USTC in December 2020. In this expository…
SYZ mirror symmetry for del Pezzo surfaces and affine structures
Siu-Cheong Lau, Tsung-Ju Lee, Yu-Shen Lin
We prove that the Landau--Ginzburg superpotential of del Pezzo surfaces can be realized as a limit of their hyperKähler rotation toward the large complex structure limit point. As…
A note on periods of Calabi--Yau fractional complete intersections
Tsung-Ju Lee
We prove that the GKZ -module arising from Calabi--Yau fractional complete intersections in toric varieties is complete, i.e., all the solutions to…
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…
-hypergeometric systems and relative cohomology
Tsung-Ju Lee, Dingxin Zhang
We investigate the space of solutions to certain -hypergeometric -modules, which were defined and studied by Gelfand, Kapranov, and Zelevinsky. We show that the sol…
A Hodge theoretic criterion for finite Weil--Petersson degenerations over a higher dimensional base
Tsung-Ju Lee
We give a Hodge-theoretic criterion for a Calabi--Yau variety to have finite Weil--Petersson distance on higher dimensional bases up to a set of codimension . The main tool…
Tautological systems under the conifold transition on
Tsung-Ju Lee, Hui-Wen Lin
Via a natural degeneration of Grassmannian manifolds to Gorenstein toric Fano varieties with conifold singularities, we suggest an approach to study the relation…