The movable cone of Calabi–Yau threefolds in ruled Fano manifolds

Atsushi Ito; Ching Jui Lai; Sz Sheng Wang

doi:10.1016/j.geomphys.2023.105053

The movable cone of Calabi–Yau threefolds in ruled Fano manifolds

Atsushi Ito, Ching Jui Lai, Sz Sheng Wang^*

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We describe explicitly the chamber structure of the movable cone for a general complete intersection Calabi–Yau threefold in a non-split (n+4)-dimensional Pⁿ-ruled Fano manifold of index n+1 and Picard number two. Moreover, all birational minimal models of such Calabi–Yau threefolds are found whose number is finite.

Original language	English
Article number	105053
Journal	Journal of Geometry and Physics
Volume	195
DOIs	https://doi.org/10.1016/j.geomphys.2023.105053
State	Published - Jan 2024

Keywords

Calabi-Yau threefold
Morrison–Kawamata cone conjecture
Ruled Fano manifold

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10.1016/j.geomphys.2023.105053

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title = "The movable cone of Calabi–Yau threefolds in ruled Fano manifolds",

abstract = "We describe explicitly the chamber structure of the movable cone for a general complete intersection Calabi–Yau threefold in a non-split (n+4)-dimensional Pn-ruled Fano manifold of index n+1 and Picard number two. Moreover, all birational minimal models of such Calabi–Yau threefolds are found whose number is finite.",

keywords = "Calabi-Yau threefold, Morrison–Kawamata cone conjecture, Ruled Fano manifold",

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

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AU - Ito, Atsushi

AU - Lai, Ching Jui

AU - Wang, Sz Sheng

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N2 - We describe explicitly the chamber structure of the movable cone for a general complete intersection Calabi–Yau threefold in a non-split (n+4)-dimensional Pn-ruled Fano manifold of index n+1 and Picard number two. Moreover, all birational minimal models of such Calabi–Yau threefolds are found whose number is finite.

AB - We describe explicitly the chamber structure of the movable cone for a general complete intersection Calabi–Yau threefold in a non-split (n+4)-dimensional Pn-ruled Fano manifold of index n+1 and Picard number two. Moreover, all birational minimal models of such Calabi–Yau threefolds are found whose number is finite.

KW - Calabi-Yau threefold

KW - Morrison–Kawamata cone conjecture

KW - Ruled Fano manifold

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VL - 195

JO - Journal of Geometry and Physics

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ER -

The movable cone of Calabi–Yau threefolds in ruled Fano manifolds

Abstract

Keywords

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