| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Outline of Final Research Achievements |
Noncommutative algebraic geometry is a recently established research field, which studies algebras using tools from algebraic geometry. AS-regular algebras and quantum projective spaces are main objects of study in noncommutative algebraic geometry. The major achievement of this research project is that, by using tools not only from algebraic geometry, but also from representation theory of algebras, such as theory of n-representation infinite algebras, theory of superpotentials and theory of isolated singularities, we studied and classified AS-regular algebras and quantum projective spaces.
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