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Automorphism group of Batyrev Calabi–Yau threefolds

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Abstract

In this paper, we will prove that all Batyrev Calabi–Yau threefolds, arising from a crepant resolution of a generic hyperplane section of a toric Fano–Gorenstein fourfold, have finite automorphism group. Together with the Morrison conjecture, this suggests that all Batyrev Calabi–Yau threefolds should have a polyhedral Kähler (ample) cone.

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  1. Simons Center, Stony Brook University, Stony Brook, NY, USA

    Mohammad Farajzadeh Tehrani

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  1. Mohammad Farajzadeh Tehrani
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Correspondence to Mohammad Farajzadeh Tehrani.

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Tehrani, M.F. Automorphism group of Batyrev Calabi–Yau threefolds. manuscripta math. 146, 299–306 (2015). https://doi.org/10.1007/s00229-014-0688-4

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  • DOI: https://doi.org/10.1007/s00229-014-0688-4

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