Communications in Number Theory and Physics

Volume 7 (2013)

Number 2

Dual torus fibrations and homological mirror symmetry for $A_n$-singularities

Pages: 361 – 396



Kwokwai Chan (Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong)

Kazushi Ueda (Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka, Japan)


We study homological mirror symmetry for not necessarily compactly supported coherent sheaves on the minimal resolutions of $A_n$-singularities. An emphasis is put on the relation with the Strominger-Yau-Zaslow conjecture.

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