A mirror duality for families of K3 surfaces associated to bimodular singularities

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• 作者：Makiko Mase
• 关键词：14J28 ; 14M25 ; 14C22
• 刊名：manuscripta mathematica
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：149
• 期：3-4
• 页码：389-404
• 全文大小：473 KB
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• 作者单位：Makiko Mase (1) (2)
  
  1. Department of Mathematics and Information Sciences, Tokyo Metropolitan University, 1-1 Minami Osawa, Hachioji-shi, Tokyo, 192-0397, Japan
  2. Osaka City University Advanced Mathematical Institute, 3-3-138 Sugimoto-cho, Sumiyoshi-ku, Osaka, 558-8585, Japan
  
• 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

Ebeling and Ploog (Manuscripta Math 140:195–212, 2013) studied a duality of bimodular singularities which is part of the Berglund–Hübsch mirror symmetry. Mase and Ueda (Manuscripta Math 146(1–2):153–177, 2015) showed that this duality leads to a polytope mirror symmetry of families of K3 surfaces. We discuss in this article how this symmetry extends to a symmetry between lattices. Mathematics Subject Classification 14J28 14M25 14C22