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Fibered Calabi-Yau threefolds with relative automorphisms of positive entropy and \(c_2\)-contractions

  • Keiji Oguiso

摘要

We show that an abelian fibered Calabi-Yau threefold with a positive entropy automorphism preserving the fibration is unique up to isomorphisms as fibered varieties. We also give a fairly explicit structure theorem of an elliptically fibered Calabi-Yau threefold with a birational automorphism of “positive entropy” preserving the fibration.