122 citations · 999 across the 45 of their papers we have counts for
4 papers · 2 filters
Mirror Symmetry and the Strominger-Yau-Zaslow conjecture
Mark Gross
This survey was written for the Current Developments in Mathematics conference, 2012, and is an updating of my article "The Strominger-Yau-Zaslow conjecture: From torus fibrations…
Moduli of surfaces with an anti-canonical cycle
Mark Gross, Paul Hacking, Sean Keel
We prove a global Torelli theorem for pairs (Y,D), where Y is a smooth projective rational surface and D is an effective anti-canonical divisor which is a cycle of rational curves.…
Theta functions and mirror symmetry
Mark Gross, Bernd Siebert
This is a survey covering aspects of varied work of the authors with Mohammed Abouzaid, Paul Hacking, and Sean Keel. While theta functions are traditionally canonical sections of a…
Towards Mirror Symmetry for Varieties of General Type
Mark Gross, Ludmil Katzarkov, Helge Ruddat
The goal of this paper is to propose a theory of mirror symmetry for varieties of general type. Using Landau-Ginzburg mirrors as motivation, we describe the mirror of a hypersurfac…