11 citations · 13 across the 2 of their papers we have counts for
6 papers
Shafarevich's Conjecture for CY Manifolds I
Kefeng Liu, Andrey Todorov, Shing-Tung Yau +1
In this paper we first study the moduli spaces related to Calabi-Yau manifolds. We then apply the results to the following problem. Let be a fixed Riemann surface with fixed fi…
Large Radius Limit and SYZ Fibrations of Hyper-Kahler Manifolds
Andrey Todorov
In this paper the relations between the existence of Lagrangian fibration of Hyper-Kähler manifolds and the existence of the Large Radius Limit is established. It is proved that if…
Maximal Unipotent Monodromy for Complete Intersection CY Manifolds
Bong H. Lian, Andrey Todorov, Shing-Tung Yau
The computations that are suggested by String Theory in the B model requires the existence of degenerations of CY manifolds with maximum unipotent monodromy. In String Theory such…
Ray Singer Analytic Torsion of Calabi Yau manifolds I
Andrey Todorov
In this paper we generalized the variational formulas for the determinants of the Laplacians on functions of CY metrics to forms of type (0,q) on CY manifolds. We also computed the…
Ample Divisors, Automorphic Forms and Shafarevich's Conjecture
Andrey Todorov, Jay Jorgenson
In this article we give a general approach to the following analogue of Shafarevich's conjecture for some polarized algebraic varieties; suppose that we fix a type of an algebraic…
Geodesic Flows on Diffeomorphisms of the Circle, Grassmannians, and the Geometry of the Periodic KdV Equation
M. E. Schonbek, A. N. Todorov, J. P. Zubelli
We start by constructing a Hilbert manifold T of orientation preserving diffeomorphisms of the circle (modulo the group of bi-holomorphic self-mappings of the disc). This space, wh…