24 citations · 146 across the 31 of their papers we have counts for
42 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 f…
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 isot…
Hodge theory of degenerations, (III): a vanishing-cycle calculus for non-isolated singularities
Matt Kerr, Radu Laza
We continue our study of the Hodge theory of degenerations, Part I of which covered consequences of the Decomposition Theorem and Part II of which concerned geometric applications…
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…