Automorphism group of Batyrev Calabi-Yau threefolds
classification
🧮 math.AG
math.SG
keywords
batyrevcalabi-yauthreefoldsautomorphismgroupamplearisingcone
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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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