• 제목/요약/키워드: Groebner basis

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The rings of invariants of finite abelian subgroups of $GL(2,C)$ of order $leq 18$

  • Keum, J.H.;Choi, N.S.
    • 대한수학회논문집
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    • 제12권4호
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    • pp.951-973
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    • 1997
  • We classify up to conjugation all finite abelian subgroups of $GL(2,C)$ of order $\leq 18$ and compute the generators and relations of their rings of invariants. In other words, we classify all 2-dimensional quotient singularities by an abelian group of order $\leq 18$ and compute the generators and relations of their affine coordinate rings.

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