2013 Fiscal Year Final Research Report
Studies of varieties of Fano type
| Project/Area Number |
24840009
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | The University of Tokyo |
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Principal Investigator |
GONGYO Yoshinori 東京大学, 数理(科)学研究科(研究院), 助教 (70634210)
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| Project Period (FY) |
2012-08-31 – 2014-03-31
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| Keywords | 対数的ファノ多様体 / 大域的F正則多様体 / 正標数上のMMP |
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| Research Abstract |
In our studies of varieties of Fano type, during the term when I received this grant, I obtains the following results: characterization vis anti-canonical ring (joint work with Paolo Cascini), rational chain connectedness of globally F-regular threefold, which is theF-singularity theoretical object corresponding to Fano type variety in characteristics lager than and equal 11 (joint work with Zhiyuan Li, Zsolt Patakfalvi, Karl Schwede, Hiromu Tanaka, Hong R. Zong), log Calabi--Yau-ness of surface of globally F-split type(joint work with Shusuke Takagi), and uniform bounds about characteristis for strongly F-regular surfaces (joint work with Paolo Cascini, Karl Schwede).
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