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Given a polynomial $f$ defined over a local field $K$, the slopes of its Newton polygon are a list of increasing numbers $[s_1,s_2,s_3, \ldots]$ such that the Newton polygon of $f$ is given by a line segment of width 1 with slope $s_1$, followed by a line segment of width 1 with slope $s_2$, etc. Note that it is possible for a slope to appear multiple times if the Newton polygon has the same slope for a width of more than 1.

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  • Review status: reviewed
  • Last edited by John Cremona on 2018-05-23 15:07:42
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