Calabi–Yau Conifold Expansions

Chapter

Abstract

We describe examples of computations of Picard–Fuchs operators for families of Calabi–Yau manifolds based on the expansion of a period near a conifold point. We find examples of operators without a point of maximal unipotent monodromy, thus answering a question posed by J. Rohde.

Key words

Calabi–Yau threefolds Picard–Fuchs operator Maximal unipotent monodromy Conifold point 

Mathematics Subject Classifications (2010)

Primary 14J32 Secondary 14Qxx 32S40 34M15 

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Institut für MathematikJohannes Gutenberg UniversityMainzGermany
  2. 2.Institut of MathematicsJagiellonian UniversityKrakówPoland

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