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- W2034249544 abstract "We prove that the automorphism group of an odd dimensional Calabi-Yau manifold of Picard number two is always a finite group. This makes a sharp contrast to the automorphism groups of K3 surfaces and hyperkahler manifolds and birational automorphism groups, as we shall see. We also clarify the relation between finiteness of the automorphism group (resp. birational automorphism group) and the rationality of the nef cone (resp. movable cone) for a hyperkahler manifold of Picard number two. We will also discuss a similar conjectual relation together with exsistence of rational curve, expected by the cone conjecture, for a Calabi-Yau threefold of Picard number two," @default.
- W2034249544 created "2016-06-24" @default.
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- W2034249544 date "2012-06-08" @default.
- W2034249544 modified "2023-09-27" @default.
- W2034249544 title "Automorphism groups of Calabi-Yau manifolds of Picard number two" @default.
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