A classification of weighted homogeneous Saito free divisors
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概要
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We describe an approach to classification of weighted homogeneous Saito free divisors in C3. This approach is mainly based on properties of Lie algebras of vector fields tangent to reduced hypersurfaces at their non-singular points. In fact we also obtain a classification of such Lie algebras having similar properties as ones for discriminants associated with irreducible real reflection groups of rank 3. Among other things we briefly discuss some applications to the theory of discriminants of irreducible reflection groups of rank 3, some interesting relationships with root systems of types E6, E7, E8, and few examples in higher dimensional cases.
- 社団法人 日本数学会の論文
- 2009-10-01
著者
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Sekiguchi Jiro
Department Of Mathematics Tokyo University Of Agriculture And Technology
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Sekiguchi Jiro
Department Of Mathematics Faculty Of Science Kyoto University
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