| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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 |
We studied monodromies at infinity of polynomial maps. Especially for the maps which are not tame at infinity, by proving a vanishing theorem on the cohomology groups of generic fibers, we described the Jordan normal forms of their monodromies at infinity in many cases. As a byproduct of this study, we obtained also a description of the bifurcation sets of polynomial maps. Moreover, a formula for the characteristic polynomials of the monodromies at infinity of confluent A-hypergeometric functions was obtained. As for the monodromy conjecture, we confirmed it for polynomials which are non-degenerate at the origin in many cases.
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