| Project/Area Number |
04452009
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| Research Category |
Grant-in-Aid for General Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
解析学
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| Research Institution | Nagoya University |
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Principal Investigator |
OHSAWA Takeo Nagoya Univ.School of Sci.Prof., 理学部, 教授 (30115802)
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| Co-Investigator(Kenkyū-buntansha) |
KOBAYASHI Ryoichi Nagoya Univ.School of Sci.Prof., 理学部, 教授 (20162034)
FUNAKI Tadahisa Nagoya Univ.School of Sci.Prof., 理学部, 教授 (60112174)
KITAOKA Yoshiyuki Nagoya Univ.School of Sci.Prof., 理学部, 教授 (40022686)
TSUCHIYA Akihiro Nagoya Univ.School of Sci.Prof., 理学部, 教授 (90022673)
AOMOTO Kazuhiko Nagoya Univ.School of Sci.Prof., 理学部, 教授 (00011495)
村井 隆文 名古屋大学, 情報文化学部, 教授 (00109266)
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| Project Period (FY) |
1992 – 1994
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| Project Status |
Completed (Fiscal Year 1994)
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| Budget Amount *help |
¥6,200,000 (Direct Cost: ¥6,200,000)
Fiscal Year 1994: ¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 1993: ¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 1992: ¥2,200,000 (Direct Cost: ¥2,200,000)
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| Keywords | L^2 cohomology / Bergman kernel / logarithmic Capacity / Teichmiiller space / analytic torsion / Bergman核 / ベルグマン核 / 擬凸領域 / 〓方程式 / 補間問題 / 開リーマン面 / ボイリング密度 / ベルグマン計量 / L^2estimate / Bergman計量 / ∂^^--方程式 |
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| Research Abstract |
L^2 cohomology groups : For the L^2 cohomology groups of Kahler varieties with singularities, the desired extension of the Hodge theory is still incomplete. However, for the isolated singularity case, a complete result was obtained and published in Advanced Stud.in Pure Math.22.
The Bergman kernel : With respect to the growth properties of the Bergman kernel, completely new results of quite general nature have been obtained. Among them are a partial answer to the Suita conjecture (to appear in Nagoya Math.J.). Yoshikawa came up with an interesting computation of the analytic torsion of Kahler varieties with conical singularities (to appear in J.Diff.G.'95).
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