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GKZ Systems, Gröbner Fans, and Moduli Spaces of Calabi-Yau Hypersurfaces

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Topological Field Theory, Primitive Forms and Related Topics

Part of the book series: Progress in Mathematics ((PM,volume 160))

Abstract

We present a detailed analysis of the GKZ (Gel’fand, Kapranov and Zelevinski) hypergeometric systems in the context of mirror symmetry of Calabi-Yau hypersurfaces in toric varieties. As an application, we will derive a concise formula for the prepotential about large complex structure limits.

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Hosono, S. (1998). GKZ Systems, Gröbner Fans, and Moduli Spaces of Calabi-Yau Hypersurfaces. In: Kashiwara, M., Matsuo, A., Saito, K., Satake, I. (eds) Topological Field Theory, Primitive Forms and Related Topics. Progress in Mathematics, vol 160. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0705-4_8

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  • DOI: https://doi.org/10.1007/978-1-4612-0705-4_8

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6874-1

  • Online ISBN: 978-1-4612-0705-4

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