TY - JOUR

T1 - The movable cone of certain Calabi–Yau threefolds of Picard number two

AU - Lai, Ching Jui

AU - Wang, Sz Sheng

N1 - Funding Information:
The first author is supported by the grant MOST 107-2115-M-006-020 and an internal grant of National Cheng Kung University. The second author is partially supported by the Fundamental Research Funds for the Central Universities 2242020R10048, and he thanks Southeast University, Shing-Tung Yau Center of Southeast University, Tsinghua University, and Yau Mathematical Sciences Center for providing support and a stimulating environment, and also thanks to the math department of National Cheng Kung University for its hospitality. Some of the work on this paper was done while he was visiting the first author at NCKU. We thank for referees for their very useful comments.
Funding Information:
The first author is supported by the grant MOST 107-2115-M-006-020 and an internal grant of National Cheng Kung University . The second author is partially supported by the Fundamental Research Funds for the Central Universities 2242020R10048 , and he thanks Southeast University, Shing-Tung Yau Center of Southeast University, Tsinghua University, and Yau Mathematical Sciences Center for providing support and a stimulating environment, and also thanks to the math department of National Cheng Kung University for its hospitality. Some of the work on this paper was done while he was visiting the first author at NCKU. We thank for referees for their very useful comments.
Publisher Copyright:
© 2021 Elsevier B.V.

PY - 2022/2

Y1 - 2022/2

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.

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U2 - 10.1016/j.jpaa.2021.106841

DO - 10.1016/j.jpaa.2021.106841

M3 - Article

AN - SCOPUS:85110536766

SN - 0022-4049

VL - 226

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 2

M1 - 106841

ER -