The Strominger-Yau-Zaslow conjecture: From torus fibrations to degenerations

Details The Strominger-Yau-Zaslow conjecture: From torus fibrations to degenerations The Strominger-Yau-Zaslow conjecture: From torus fibrations to degenerations

2008-02-22

arxiv.org/abs/0802.3407v1

Mathematics

Algebraic Geometry

44 pages, to appear in the Proceedings of the 2005 AMS Symposium on Algebraic Geometry, Seattle

Scientific paper

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.

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