11 citations · 45 across the 20 of their papers we have counts for
20 papers
A Global Torelli Theorem for Calabi-Yau Manifolds
Kefeng Liu, Yang Shen, Andrey Todorov
We describe the proof that the period map from the Torelli space of Calabi-Yau manifolds to the classifying space of polarized Hodge structures is an embedding. The proof is based…
On K3 fibered Calabi-Yau 3-folds
Elena Andreini, Cristina Martinez, Andrey Todorov
Given X a K3 surface, a mirror dual to X can be identified with a component of the moduli space of semistable sheaves on X. We consider fibrations by K3 surfaces over a one dimensi…
Finiteness of Subfamilies of Calabi-Yau n-Folds over Curves with Maximal Length of Yukawa-Coupling
Kefeng Liu, Andrey Todorov, Shing-Tung Yau +1
We give a simplified and more algebraic proof of the finiteness of the families of Calabi-Yau n-folds with non-vanishing of Yukawa-coupling over a fixed base curve and with fixed d…
Global Torelli Theorem for Teichmuller Spaces of Polarized Calabi-Yau manifolds
Kefeng Liu, Andrey Todorov, Xiaofeng Sun +1
The result of this paper is proved in arXiv:1112.1163
Derived equivalences of Calabi-Yau fibrations
Cristina Martinez Ramirez, Andrey Todorov
We consider fibrations by abelian surfaces and K3 surfaces over a one dimensional base that are Calabi-Yau and we obtain dual fibrations that are derived equivalent to the original…
CY Manifolds with Locally Symmetric Moduli Spaces
Andrey N. Todorov
There is a natural sequence of CY manifolds that are double covers of the projective g dimensional spaces ramified over 2g+2 hyperplanes. We observe that some of them are obtained…