Automorphism group of Batyrev Calabi-Yau threefolds

Published 15 Sep 2011 in math.AG and math.SG | (1109.3238v2)

Abstract: In this paper, we will prove that all Batyrev Calabi-Yau threefolds, arising from a small resolution of a generic hyperplane section of a reflexive Fano-Gorenstein fourfold, have finite automorphism group. Together with Morrison conjecture, this suggests that Batyrev Calabi-Yau threefolds should have a polyhedral Kahler (ample) cone.

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Authors (1)

Mohammad Farajzadeh Tehrani

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