122 citations · 999 across the 45 of their papers we have counts for
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Geometry of twisted Kähler-Einstein metrics and collapsing
Mark Gross, Valentino Tosatti, Yuguang Zhang
We prove that the twisted Kahler-Einstein metrics that arise on the base of certain holomorphic fiber space with Calabi-Yau fibers have conical-type singularities along the discrim…
Gromov-Hausdorff collapsing of Calabi-Yau manifolds
Mark Gross, Valentino Tosatti, Yuguang Zhang
This paper is a sequel to arXiv:1108.0967. We further study Gromov-Hausdorff collapsing limits of Ricci-flat Kähler metrics on abelian fibered Calabi-Yau manifolds. Firstly, we sho…
Collapsing of abelian fibred Calabi-Yau manifolds
Mark Gross, Valentino Tosatti, Yuguang Zhang
We study the collapsing behaviour of Ricci-flat Kahler metrics on a projective Calabi-Yau manifold which admits an abelian fibration, when the volume of the fibers approaches zero.…
Large Complex Structure Limits of K3 Surfaces
Mark Gross, P. M. H. Wilson
Motivated by the picture of mirror symmetry suggested by Strominger, Yau and Zaslow, we made a conjecture concerning the Gromov-Hausdorff limits of Calabi-Yau n-folds (with Ricci-f…