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- W1749997373 abstract "Let $f_{{bf a},{bf b}}({bf z},bar{bf z})=z_1^{a_1+b_1}bar z_1^{b_1}+...+z_n^{a_n+b_n}bar z_n^{b_n}$ be a polar weighted homogeneous mixed polynomial with $a_j>0,b_jge 0$, $j=1,..., n$ and let $f_{{bf a}}({bf z})=z_1^{a_1}+...+z_n^{a_n}$ be the associated weighted homogeneous polynomial. Consider the corresponding link variety $K_{{bf a},{bf b}}=f_{{bf a},{bf b}}inv(0)cap S^{2n-1}$ and $K_{{bf a}}=f_{{bf a}}inv(0)cap S^{2n-1}$. Ruas-Seade-Verjovsky cite{R-S-V} proved that the Milnor fibrations of $f_{{bf a},{bf b}}$ and $f_{{bf a}}$ are topologically equivalent and the mixed link $K_{{bf a},{bf b}}$ is homeomorphic to the complex link $K_{{bf a}}$. We will prove that they are $C^infty$ equivalent and two links are diffeomorphic. We show the same assertion for $ f({bf z},bar{bf z})=z_1^{a_1+b_1}bar z_1^{b_1}z_2+...+z_{n-1}^{a_{n-1}+b_{n-1}}bar z_{n-1}^{b_{n-1}}z_n+z_n^{a_n+b_n}bar z_n^{b_n}$ and its associated polynomial $ g({bf z})=z_1^{a_1}z_2+...+ z_{n-1}^{a_{n-1}}z_n+z_n^{a_n}$." @default.
- W1749997373 created "2016-06-24" @default.
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- W1749997373 date "2011-01-01" @default.
- W1749997373 modified "2023-09-27" @default.
- W1749997373 title "On mixed Brieskorn variety" @default.
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- W1749997373 doi "https://doi.org/10.1090/conm/538/10615" @default.
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