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• W3138050589 endingPage "107101" @default.
• W3138050589 startingPage "107101" @default.
• W3138050589 abstract "We investigate nef and movable cones of hypersurfaces in Mori dream spaces. The first result is: Let Z be a smooth Mori dream space of dimension at least four whose extremal contractions are of fiber type of relative dimension at least two and let X be a smooth ample divisor in Z, then X is a Mori dream space as well. The second result is: Let Z be a Fano manifold of dimension at least four whose extremal contractions are of fiber type and let X be a smooth anti-canonical hypersurface in Z, which is a smooth Calabi–Yau variety, then the unique minimal model of X up to isomorphism is X itself, and moreover, the movable cone conjecture holds for X, namely, there exists a rational polyhedral cone which is a fundamental domain for the action of birational automorphisms on the effective movable cone of X. The third result is: Let P:=Pn×⋯×Pn be the N-fold self-product of the n-dimensional projective space. Let X be a general complete intersection of n+1 hypersurfaces of multidegree (1,…,1) in P with dim⁡X≥3. Then X has only finitely many minimal models up to isomorphism, and moreover, the movable cone conjecture holds for X." @default.
• W3138050589 created "2021-03-29" @default.
• W3138050589 creator A5080932283 @default.
• W3138050589 date "2022-11-01" @default.
• W3138050589 modified "2023-10-01" @default.
• W3138050589 title "Remarks on nef and movable cones of hypersurfaces in Mori dream spaces" @default.
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• W3138050589 doi "https://doi.org/10.1016/j.jpaa.2022.107101" @default.
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