A note on bimodal singularities and mirror symmetry

作者:Mase Makiko*; Ueda Kazushi
来源:Manuscripta Mathematica, 2015, 146(1-2): 153-177.
DOI:10.1007/s00229-014-0693-7

摘要

We discuss the relation between transposition mirror symmetry of Berglund and Hubsch for bimodal singularities and polar duality of Batyrev for associated toric K3 hypersurfaces. We also show that homological mirror symmetry for singularities implies the geometric construction of Coxeter-Dynkin diagrams of bimodal singularities by Ebeling and Ploog.

  • 出版日期2015-1