Study of vector bundles using the theory of complexes
| Project/Area Number |
22340010
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Kobe University |
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Principal Investigator |
YOSHIOKA Kota 神戸大学, 理学(系)研究科(研究院), 教授 (40274047)
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| Co-Investigator(Renkei-kenkyūsha) |
NOUMI Masatoshi (80164672)
YAMADA Yasuhiko (00202383)
SAITO Masahiko (80183044)
NAKAJIMA Hiraku (00201666)
ABE Takeshi (90362409)
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| Project Period (FY) |
2010-04-01 – 2014-03-31
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥11,570,000 (Direct Cost: ¥8,900,000、Indirect Cost: ¥2,670,000)
Fiscal Year 2013: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2012: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2011: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2010: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
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| Keywords | ベクトル束 / Bridgeland stability / モジュライ / 導来圏 / 複体 |
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| Research Abstract |
I studied moduli of Bridgeland stable objects on an abelian or a K3 surface.
In particular, I proved that moduli spaces are projective varieties, and studied birational properties of the spaces. I also apply these results to the classification of vector bundles on abelian surfaces. I also proved the Witten conjecture of Donaldson invariants for algebraic surfaces.
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Report
(5 results)
Research Products
(22 results)
