Given a polynomial $f$ defined over a nonarchimedean 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.

**Knowl status:**

- Review status: reviewed
- Last edited by Andrew Sutherland on 2020-10-24 17:10:54

**History:**(expand/hide all)

- 2020-10-24 17:10:54 by Andrew Sutherland (Reviewed)
- 2020-10-24 16:55:28 by Andrew Sutherland
- 2020-10-24 16:55:09 by Andrew Sutherland
- 2018-05-23 15:07:42 by John Cremona (Reviewed)

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