Graded rings of modular forms in higher genera and algebraic combinatorics
| Project/Area Number |
25400014
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Kanazawa University (2014-2015)
Kochi University (2013) |
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Principal Investigator |
Oura Manabu 金沢大学, 数物科学系, 教授 (50343380)
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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 |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Keywords | E-多項式 / 符号 / モジュラー形式 / 中心化環 / テータ / 格子 / Eisenstein級数 / 複素球面上の点集合 / Barnes-Wall格子 / 不変式論 |
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| Outline of Final Research Achievements |
We have work in the boundary between the theory of modular forms and that of algebraic combinatorics. With Masashi Kosusa, we determined the structures of the centralizer rings of the tensor representation of the group associated to Type II binary codes. With Togo Motomura, we determined the generators of the garded ring of E-polynomials associated to Type II Z4-codes. With Michio Ozeki, we studied the theta series of five extremal Type II lattices of rank 85 and showed that they are distinct in genus four.
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Report
(4 results)
Research Products
(4 results)
