|Budget Amount *help
¥31,070,000 (Direct Cost: ¥23,900,000、Indirect Cost: ¥7,170,000)
Fiscal Year 2018: ¥7,280,000 (Direct Cost: ¥5,600,000、Indirect Cost: ¥1,680,000)
Fiscal Year 2017: ¥5,720,000 (Direct Cost: ¥4,400,000、Indirect Cost: ¥1,320,000)
Fiscal Year 2016: ¥5,720,000 (Direct Cost: ¥4,400,000、Indirect Cost: ¥1,320,000)
Fiscal Year 2015: ¥6,370,000 (Direct Cost: ¥4,900,000、Indirect Cost: ¥1,470,000)
Fiscal Year 2014: ¥5,980,000 (Direct Cost: ¥4,600,000、Indirect Cost: ¥1,380,000)
|Outline of Final Research Achievements
For an l-adic sheaf on algebraic variety of positive characteristic, I defined its characteristic cycle by determining the coefficients of irreducible components of the singular support defined by Beilinson, using the Milnor formula. Using the characteristic cycle, I proved the index formula computing the Euler number. Studying the compatibility with proper push-forward, I obtained an axiomatic characterization of characteristic cycles. With Yatagawa, I proved that the characteristic cycle is independent of l.
I constructed the filtration by ramification groups for a general valuation ring under the assumption that the integer ring is relatively of complete intersection.