The Strominger-Yau-Zaslow conjecture: From torus fibrations to degenerations
Algebraic Geometry
2008-02-26 v1 Symplectic Geometry
Abstract
This survey article begins with a discussion of the original form of the Strominger-Yau-Zaslow conjecture, surveys the state of knowledge concering this conjecture, and explains how thinking about this conjecture naturally leads to the program initiated by the author and Bernd Siebert to study mirror symmetry via degenerations of Calabi-Yau manifolds and log structures.
Keywords
Cite
@article{arxiv.0802.3407,
title = {The Strominger-Yau-Zaslow conjecture: From torus fibrations to degenerations},
author = {Mark Gross},
journal= {arXiv preprint arXiv:0802.3407},
year = {2008}
}
Comments
44 pages, to appear in the Proceedings of the 2005 AMS Symposium on Algebraic Geometry, Seattle