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^*

^*此作品的通信作者

應用數學系

研究成果: Article › 同行評審

2 引文斯高帕斯（Scopus）

摘要

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.

原文	English
文章編號	105053
期刊	Journal of Geometry and Physics
卷	195
DOIs	https://doi.org/10.1016/j.geomphys.2023.105053
出版狀態	Published - 1月 2024

存取文件

10.1016/j.geomphys.2023.105053

其它文件與鏈接

Link to publication in Scopus

引用此

@article{9f4c5570b0ff477698b9429df1d90d92,

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\}",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier B.V.",

year = "2024",

month = jan,

doi = "10.1016/j.geomphys.2023.105053",

language = "English",

volume = "195",

journal = "Journal of Geometry and Physics",

issn = "0393-0440",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - The movable cone of Calabi–Yau threefolds in ruled Fano manifolds

AU - Ito, Atsushi

AU - Lai, Ching Jui

AU - Wang, Sz Sheng

PY - 2024/1

Y1 - 2024/1

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

UR - https://www.scopus.com/pages/publications/85178271507

U2 - 10.1016/j.geomphys.2023.105053

DO - 10.1016/j.geomphys.2023.105053

M3 - Article

AN - SCOPUS:85178271507

SN - 0393-0440

VL - 195

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

M1 - 105053

ER -

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

摘要

存取文件

其它文件與鏈接

指紋

引用此