A note on bimodal singularities and mirror symmetry

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• 作者：Makiko Mase ; Kazushi Ueda
• 关键词：14J33 ; 53D37
• 刊名：manuscripta mathematica
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：146
• 期：1-2
• 页码：153-177
• 全文大小：250 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Algebraic Geometry
  Topological Groups and Lie Groups
  Geometry
  Number Theory
  Calculus of Variations and Optimal Control
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-1785

文摘

We discuss the relation between transposition mirror symmetry of Berglund and Hübsch 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.