Projective Algebraic Geometry in Positive Characteristic
Project/Area Number |
22540055
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Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Algebra
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Research Institution | Waseda University |
Principal Investigator |
KAJI Hajime 早稲田大学, 理工学術院, 教授 (70194727)
|
Co-Investigator(Renkei-kenkyūsha) |
FUKASAWA Satoru 山形大学, 理学部, 准教授 (20569496)
FURUKAWA Katsuhisa 早稲田大学, 理工学術院, 助教 (40648664)
|
Project Period (FY) |
2010 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
Keywords | ガウス写像 / 射影双対 / 再帰性 / 正標数 / 射影代数幾何 |
Research Abstract |
I obtained a few results on non-singular projective varieties with Gauss map of rank zero, on the linearity of Gauss fibres, and on the linear degeneration of tangentially degenerate curves. I also organized a symposium “Miyako no Seihoku Algebraic Geometry Symposium.”
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Report
(4 results)
Research Products
(14 results)
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[Presentation] A tangential trisecant lemma2012
Author(s)
楫元
Organizer
ALGA-2012 (the 12th Meeting of the Brazilian Group in Commutative Algebra and Algebraic Geometry)
Place of Presentation
Instituto de Matematica Pura e Aplicada (リオデジャネイロ, ブラジル)
Year and Date
2012-08-16
Related Report
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[Presentation] Gauss maps in positive characteristic2010
Author(s)
楫元
Organizer
ALGA-2010 (the 10th Meeting of the Brazilian Group in Commutative Algebra and Algebraic Geometry)
Place of Presentation
Instituto de Matematica Pura e Aplicada (リオデジャネイロ, ブラジル)
Year and Date
2010-07-09
Related Report
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