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

Department of Mathematics

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

2 Citations (Scopus)

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
Publication status	Published - 2024 Jan

All Science Journal Classification (ASJC) codes

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

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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.",

author = "Atsushi Ito and Lai, {Ching Jui} and 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.

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JO - Journal of Geometry and Physics

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

Abstract

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