Gorenstein quotient singularities of monomial type in dimension three

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概要

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• In this paper we give an explicit description of the construction of 3-dimensional smooth varieties coming from a crepant resolution of the underlying spaces of quotient singularities $\Bbb C^3/G$, which are defined by certain monomial type finite subgroups $G$ of $SL(3,\Bbb C)$. Moreover, we prove that the topological Euler number of these varieties equals the number of conjugacy classes of the corresponding acting group. The latter constitutes the verification of a part of the physicist's conjecture concerning \lq\lq the orbifold Euler characteristics".

• 東京大学の論文

著者

• Ito Yukari

  Graduate School Of Mathematical Sciences University Of Tokyo

関連論文

• Gorenstein quotient singularities of monomial type in dimension three

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