The movable cone of certain Calabi–Yau threefolds of Picard number two

Ching Jui Lai; Sz Sheng Wang

doi:10.1016/j.jpaa.2021.106841

The movable cone of certain Calabi–Yau threefolds of Picard number two

Ching Jui Lai^*, Sz Sheng Wang

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摘要

We describe explicitly the chamber structure of the movable cone for a general smooth complete intersection Calabi–Yau threefold X of Picard number two in certain P^r-ruled Fano manifold and hence verify the Morrison–Kawamata cone conjecture for such X. Moreover, all birational minimal models of such Calabi–Yau threefolds are found, whose number is finite up to isomorphism.

原文	English
文章編號	106841
期刊	Journal of Pure and Applied Algebra
卷	226
發行號	2
DOIs	https://doi.org/10.1016/j.jpaa.2021.106841
出版狀態	Published - 2月 2022

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10.1016/j.jpaa.2021.106841

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title = "The movable cone of certain Calabi–Yau threefolds of Picard number two",

abstract = "We describe explicitly the chamber structure of the movable cone for a general smooth complete intersection Calabi–Yau threefold X of Picard number two in certain Pr-ruled Fano manifold and hence verify the Morrison–Kawamata cone conjecture for such X. Moreover, all birational minimal models of such Calabi–Yau threefolds are found, whose number is finite up to isomorphism.",

keywords = "Birational geometry, Calabi-Yau threefold, Movable cone",

author = "Lai, {Ching Jui} and Wang, {Sz Sheng}",

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AU - Wang, Sz Sheng

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N2 - We describe explicitly the chamber structure of the movable cone for a general smooth complete intersection Calabi–Yau threefold X of Picard number two in certain Pr-ruled Fano manifold and hence verify the Morrison–Kawamata cone conjecture for such X. Moreover, all birational minimal models of such Calabi–Yau threefolds are found, whose number is finite up to isomorphism.

AB - We describe explicitly the chamber structure of the movable cone for a general smooth complete intersection Calabi–Yau threefold X of Picard number two in certain Pr-ruled Fano manifold and hence verify the Morrison–Kawamata cone conjecture for such X. Moreover, all birational minimal models of such Calabi–Yau threefolds are found, whose number is finite up to isomorphism.

KW - Birational geometry

KW - Calabi-Yau threefold

KW - Movable cone

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DO - 10.1016/j.jpaa.2021.106841

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SN - 0022-4049

VL - 226

JO - Journal of Pure and Applied Algebra

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ER -

The movable cone of certain Calabi–Yau threefolds of Picard number two

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