5 papers
Deformations of fibered Calabi--Yau varieties
Benjamin Bakker, Kristin DeVleming, Stefano Filipazzi +5
Kollár showed that small deformations of elliptically fibered smooth -torsion varieties with remain elliptically fibered. We extend this result to any…
Deformations of Calabi-Yau varieties with isolated log canonical singularities
Robert Friedman, Radu Laza
Recent progress in the deformation theory of Calabi-Yau varieties with canonical singularities has highlighted the key role played by the higher Du Bois and higher rational sin…
Deformations of some local Calabi-Yau manifolds
Robert Friedman, Radu Laza
We study deformations of certain crepant resolutions of isolated rational Gorenstein singularities. After a general discussion of the deformation theory, we specialize to dimension…
Isotrivial Lagrangian fibrations of compact hyper-Kähler manifolds
Yoon-Joo Kim, Radu Laza, Olivier Martin
This article initiates the study of isotrivial Lagrangian fibrations of compact hyper-Kähler manifolds. We present four foundational results that extend well-known facts about iso…
Deformations of singular Fano and Calabi-Yau varieties
Robert Friedman, Radu Laza
The goal of this paper is to generalize results concerning the deformation theory of Calabi-Yau and Fano threefolds with isolated hypersurface singularites, due to the first author…