122 citations · 999 across the 45 of their papers we have counts for
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Special Lagrangian Fibrations I: Topology
Mark Gross
In 1996, Strominger, Yau and Zaslow made a conjecture about the geometric relationship between two mirror Calabi-Yau manifolds. Roughly put, if X and Y are a mirror pair of such ma…
Equations of (1,d)-polarized Abelian Surfaces
Mark Gross, Sorin Popescu
We study the equations of abelian surfaces embedded in P^{n-1} with a line bundle of polarization of type (1,n). For n>9, we show that the ideal of a general abelian surface with t…
Primitive Calabi-Yau Threefolds
Mark Gross
A primitive Calabi-Yau threefold is a non-singular Calabi-Yau threefold which cannot be written as a crepant resolution of a singular fibre of a degeneration of Calabi-Yau threefol…
Deforming Calabi-Yau Threefolds
Mark Gross
This paper first generalises the Bogomolov-Tian-Todorov unobstructedness theorem to the case of Calabi-Yau threefolds with canonical singularities. The deformation space of such a…
The Deformation Space of Calabi-Yau n-folds with canonical singularities can be obstructed
Mark Gross
This paper gives a simple example of a family of Calabi-Yaus of any dimension with canonical singularities of dimension one, whose Kuranishi space is singular. Thus the Bogomolov-T…