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- W611367568 abstract "We shall call hypersurface isolated singularity defined by quasihomogeneous polynomial, with a quasihomogeneous isolated singularity. Quasihomo-. geneous isolated singularities have been studied by several authors; Arnold [1, 2], Orlik and Wagreich [4, 5], Yoshinaga and Suzuki [6], and Yoshinaga and Watanabe [7]. In [6], quasihomogeneous isolated singularities; non-degenerate quasihomogeneous polynomials, are classified under the conditions of their inner modalities$4. Recently, Yoshinaga-Watanabe showed that the geometric genus P. of quasihomogeneous isolated singularity is completely determined only by its weights. The quasihomogeneous isolated singularities with p,==O are the rational double points. Those ones with p.=1 are classified as part of the minimally elliptic singularities by Laufer [3], and also as part of the quasihomogeneous isolated singularities with inner modalities 1, 2, 3 or 4, by Yoshinaga-Suzuki [6]. In this paper, we classify the quasihomogeneous .isolated singularities with P.==2. In section 4, we list the minimal resolutions of our classified singularities." @default.
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- W611367568 date "1980-11-01" @default.
- W611367568 modified "2023-09-26" @default.
- W611367568 title "Two-Dimensional Quasihomogeneous Isolated Singularities with Geometric Genus Equal to Two" @default.
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