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- W2908760176 abstract "Let $(K,v)$ be a valued field, and $mu$ an inductive valuation on $K[x]$ extending $v$. Let $G_mu$ be the graded algebra of $mu$ over $K[x]$, and $kappa$ the maximal subfield of the subring of $G_mu$ formed by the homogeneous elements of degree zero. In this paper, we find an algorithm to compute the field $kappa$ and the residual polynomial operator $R_mu : K[x]tokappa[y]$, where $y$ is another indeterminate, without any need to perform computations in the graded algebra. This leads to an OM algorithm to compute the factorization of separable defectless polynomials over henselian fields." @default.
- W2908760176 created "2019-01-25" @default.
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- W2908760176 date "2019-01-15" @default.
- W2908760176 modified "2023-09-27" @default.
- W2908760176 title "Computation of residual polynomial operators of inductive valuations." @default.
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