502 citations · 1k across the 33 of their papers we have counts for
34 papers
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 Calabi-Yau varieties with -liminal singularities
Robert Friedman, Radu Laza
The goal of this paper is to describe certain nonlinear topological obstructions for the existence of first order smoothings of mildly singular Calabi-Yau varieties of dimension at…
The higher Du Bois and higher rational properties for isolated singularities
Robert Friedman, Radu Laza
Higher rational and higher Du Bois singularities have recently been introduced as natural generalizations of the standard definitions of rational and Du Bois singularities. In this…
Higher Du Bois and higher rational singularities
Robert Friedman, Radu Laza
We prove that the higher direct images of the sheaves of relative Kähler differentials are locally free and compatible with arbitrary base change for fla…
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…
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…