19 citations · 69 across the 17 of their papers we have counts for
19 papers
A theory of generalized Lamé curves
You-Cheng Chou, Chin-Lung Wang, Po-Sheng Wu
We study the generalized Lam'e equation (GLE) on an elliptic curve with multiple regular singularities of weights .…
Algebraic methods in periodic singular Liouville equations
Chin-Lung Wang
We explain how algebraic geometry comes into play in the study of non-linear mean field (singular Liouville) equations on…
Quantum flips I: local model
Yuan-Pin Lee, Hui-Wen Lin, Chin-Lung Wang
We study analytic continuations of quantum cohomology under simple flips along the extremal ray quantum variable . The inverse correspondence $Ψ=…
Quantum Cohomology under Birational Maps and Transitions
Yuan-Pin Lee, Hui-Wen Lin, Chin-Lung Wang
This is an expanded version of the third author's lecture in String-Math 2015 at Sanya. It summarizes some of our works in quantum cohomology. After reviewing the quantum Lefschetz…
Geometric quantities arising from bubbling analysis of mean field equations
Chang-Shou Lin, Chin-Lung Wang
Let be a flat torus and be its Green function with singularity at . Consider the multiple Green function on : $$G_{n}(z_1,\cdots,z_n) := \sum_{i <…
Mean field equations, hyperelliptic curves and modular forms: I
Ching-Li Chai, Chang-Shou Lin, Chin-Lung Wang
We develop a theory connecting the following three areas: (a) the mean field equation (MFE) , on flat tori $E_τ= \mathbb C/(\math…
Mean field equations, hyperelliptic curves and modular forms: II
Chang-Shou Lin, Chin-Lung Wang
A pre-modular form of weight is introduced for each , where , such that for $E_τ= \Bbb C/(\Bbb Z…
Towards theory in conifold transitions for Calabi-Yau threefolds
Yuan-Pin Lee, Hui-Wen Lin, Chin-Lung Wang
For projective conifold transitions between Calabi-Yau threefolds and , with close to in the moduli, we show that the combined information provided by the model…
Invariance of quantum rings under ordinary flops: III
Y. -P. Lee, H. -W. Lin, F. Qu +1
The paper is Part III of our ongoing project to study a case of Crepant Transformation Conjecture: K-equivalence Conjecture for ordinary flops. In this paper we prove the invarianc…
Invariance of Quantum Rings under Ordinary Flops II: A quantum Leray--Hirsch theorem
Yaun-Pin Lee, Hui-Wen Lin, Chin-Lung Wang
This is the second of a sequence of papers proving the quantum invariance for ordinary flops over an arbitrary smooth base. In this paper, we complete the proof of the invariance o…
Invariance of Quantum Rings under Ordinary Flops I: Quantum corrections and reduction to local models
Yuan-Pin Lee, Hui-Wen Lin, Chin-Lung Wang
This is the first of a sequence of papers proving the quantum invariance under ordinary flops over an arbitrary smooth base. In this first part, we determine the defect of the cup…
Extensions of multiply twisted pluri-canonical forms
Chen-Yu Chi, Chin-Lung Wang, Sz-Sheng Wang
Given a projective variety X, a smooth divisor D, and semipositive line bundles (L_1,h_1),,...,(L_m,h_m), we consider the "multiply twisted pluricanonical bundle" F:=m(K_X+D)+L_1+.…
Motivic and quantum invariance under stratified Mukai flops
Baohua Fu, Chin-Lung Wang
For stratified Mukai flops of type and , it is shown the fiber product induces isomorphisms on Chow motives. In contrast to (standard) Mukai flops, the…
Flops, motives and invariance of quantum rings
Y. -P. Lee, Hui-Wen Lin, Chin-Lung Wang
For ordinary flops, the correspondence defined by the graph closure is shown to give equivalence of Chow motives and to preserve the Poincaré pairing. In the case of simple ordinar…
Elliptic functions, Green functions and the mean field equations on tori
Chang-Shou Lin, Chin-Lung Wang
We show that the Green functions on flat tori can have either 3 or 5 critical points only. There does not seemto be any directmethod to attack this problem. Instead, we have to emp…
Quasi-Hodge Metrics and Canonical Singularities
Chin-Lung Wang
We study one parameter degenerations of complex projective manifolds by introducing certain type of Hodge metrics coming from the pluricanonical forms. We show that degenerations w…
K-equivalence in Birational Geometry
Chin-Lung Wang
We give a survey of the background and recent development on the -equivalence relation among birational manifolds. After a brief historical sketch of birational geometry, we def…
K-equivalence in Birational Geometry and Characterizations of Complex Elliptic Genera
Chin-Lung Wang
We show that for smooth complex projective varieties the most general combinations of chern numbers that are invariant under the K-equivalence relation consist of the complex ellip…
On the Topology of Birational Minimal Models
Chin-Lung Wang
We show that birational smooth complex projective varieties with numerically effective canonical bundles along the exceptional loci have the same Betti numbers. In particular, bira…