| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Research Abstract |
Automorphisms of a polynomial ring are one of the main objects of study in Polynomial Ring Theory(Affine Algebraic Geometry). In 2003, Shestakov-Umirbaev published an epoch-making theory on automorphisms of a polynomial ring in three variables, and solved Nagata's conjecture which was open for a long time. Following the study of Shestakov-Umirbaev, we establish a useful and powerful method for analyzing automorphisms of polynomial rings in three variables, and proved various interesting theorems as applications.
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