Structural Studies of Fano manifolds with nef tangent bundle
Project/Area Number |
26800002
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Multi-year Fund |
Research Field |
Algebra
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Research Institution | Saitama University |
Principal Investigator |
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Research Collaborator |
Muñoz Roberto Universidad Rey Juan Carlos
Occhetta Gianluca Università di Trento
Conde Luis E. Solá Università di Trento
Wiśniewski Jaroslaw A. Uniwersytet Warszawski
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Project Period (FY) |
2014-04-01 – 2017-03-31
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Project Status |
Completed (Fiscal Year 2016)
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Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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Keywords | ファノ多様体 / 等質多様体 / 有理曲線 / VMRT / 接朿 / ネフ / 接束 / ネフ接束 / 代数群 / リー環 |
Outline of Final Research Achievements |
I studied characterization problems of homogeneous varieties from the viewpoint of tangent bundle. In particular, I studied the Campana-Peternell conjecture on Fano manifolds with nef tangent bundle (which is the so-called the CP conjecture) and the Mok-Hong-Hwang conjecture on characterizations of homogeneous varieties by these VMRT's (MHH conjecture). I studied these problems with R. Munoz, G. Occhetta, L. E. Sola Conde and J. A. Wisniewski. Seven papers have been published or accepted for publications.
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Report
(4 results)
Research Products
(28 results)
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[Journal Article] A survey on the Campana-Peternell Conjecture2015
Author(s)
Munoz, Roberto; Occhetta, Gianluca; Sola Conde, Luis E.; Watanabe, Kiwamu; Wisniewski, Jaroslaw A.
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Journal Title
Rendiconti dell'Istituto di Matematica dell'Università di Trieste
Volume: 47
Pages: 127-185
DOI
Related Report
Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
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