| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
The generic fiber of an algebraic group over a normal integral scheme is an algebraic group over the function field. First, we studied construction methods of geometric models over the normal integral scheme with large symmetry (families of algebraic varieties with actions of the algebraic group) of torsors (principal homogeneous spaces) under the algebraic group over the function field. Secondly, we studied their relative compactification. Finally, we studied singularities of dimension two appearing in the above construction and obtain methods to compute invariants associated with the singularities.
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