Description

Book Synopsis
Discusses the connection between Calabi-Yau threefolds and modular forms. This title presents the general theory and brings together the known results. It features hundreds of examples of rigid and non-rigid Calabi-Yau threefolds, and the construction of correspondences between them leads to conjectures about the modular forms involved.

Table of Contents
Arithmetic on Calabi-Yau threefolds Fibre products of elliptic surfaces Quintics in $\mathbb{P}^4$ Double octics Other examples Tables, correspondences, conclusions Arrangements of eight planes Modular double octics Tables of weight two and weight four newforms Bibliography Index.

Modular CalabiYau Threefolds

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    A Hardback by Christian Meyer

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      View other formats and editions of Modular CalabiYau Threefolds by Christian Meyer

      Publisher: MP-AMM American Mathematical
      Publication Date: 11/30/2005 12:00:00 AM
      ISBN13: 9780821839089, 978-0821839089
      ISBN10: 082183908X

      Description

      Book Synopsis
      Discusses the connection between Calabi-Yau threefolds and modular forms. This title presents the general theory and brings together the known results. It features hundreds of examples of rigid and non-rigid Calabi-Yau threefolds, and the construction of correspondences between them leads to conjectures about the modular forms involved.

      Table of Contents
      Arithmetic on Calabi-Yau threefolds Fibre products of elliptic surfaces Quintics in $\mathbb{P}^4$ Double octics Other examples Tables, correspondences, conclusions Arrangements of eight planes Modular double octics Tables of weight two and weight four newforms Bibliography Index.

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