122 citations · 999 across the 45 of their papers we have counts for
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math.AG2013
Birational geometry of cluster algebras
Mark Gross, Paul Hacking, Sean Keel
We give a geometric interpretation of cluster varieties in terms of blowups of toric varieties. This enables us to provide, among other results, an elementary geometric proof of th…
math.DG2013★ 53 cited
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…