| Project/Area Number |
23654012
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | Hiroshima University |
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Principal Investigator |
SHIMADA Ichiro 広島大学, 大学院・理学研究科, 教授 (10235616)
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| Co-Investigator(Kenkyū-buntansha) |
TAKAHASHI Nobuyoshi 広島大学, 大学院・理学研究科, 准教授 (60301298)
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| Project Period (FY) |
2011 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | K3 曲面 / 格子理論 / 代数学 / K3曲面 / 基本群 / ネロン・セヴェリ格子 |
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| Research Abstract |
The lattice theory plays an important role in the study of topological properties of algebraic surfaces. We wrote some algorithms about lattices by using C language library gmp, and obtained strong calculating tools about lattic es. The most important algorithm among them is a program that calculates the list of vectors of a given norm from a Gram matrix of a positive -definite lattice. As an application,we determined, with Sigeyuki Kondo, the generators of the automorphism group of the Fermat quartic surface in characteristic 3.
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