Arrangements of hyperplanes and conics via real structures
Project/Area Number |
25400060
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Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Geometry
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Research Institution | Hokkaido University |
Principal Investigator |
YOSHINAGA Masahiko 北海道大学, 理学(系)研究科(研究院), 准教授 (90467647)
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Co-Investigator(Kenkyū-buntansha) |
TERAO Hiroaki 北海道大学, 国際本部, 特任教授 (90119058)
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Co-Investigator(Renkei-kenkyūsha) |
TOKUNAGA Hiro-o 首都大学東京, 大学院理工学研究科, 教授 (30211395)
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Project Period (FY) |
2013-04-01 – 2016-03-31
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Project Status |
Completed (Fiscal Year 2015)
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Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
|
Keywords | 超平面配置 / ミルナーファイバー / オイラー多項式 / 実構造 / 二次曲線配置 / 特性多項式 / エルハルト多項式 |
Outline of Final Research Achievements |
We studied topological and combinatorial aspects of hyperplane arrangements. As topological aspects, we focused on Milnor fibers of hyperplane arrangements. Based on the formula describing the cohomology of Milnor fiber using real structure, we obtained certain vanishing of non-trivial monodromy. We also studied the characteristic quasi-polynomials of Linial arrangements associated to a root system in terms of Ehrhart theory.
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Report
(4 results)
Research Products
(29 results)
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[Presentation] Linial arrangements and Eulerian polynomials2016
Author(s)
Masahiko Yoshinaga
Organizer
Special Session on Topology and Combinatorics of Arrangements (in honor of Mike Falk), Spring Eastern Sectional Meeting State University of New York at Stony Brook
Place of Presentation
NY (USA)
Year and Date
2016-03-19
Related Report
Int'l Joint Research / Invited
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[Presentation] 超平面配置とオイラー多項式2015
Author(s)
吉永正彦
Organizer
幾何学・組合せ論に現れる環と代数構造
Place of Presentation
京都大学数理解析研究所(京都府・京都市)
Year and Date
2015-06-11
Related Report
Invited
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