show · lf.ramification_polygon_display all knowls · up · search:

The blue graph shows the ramification polygon.

  • The blue numbers to the left of each segment is its slope.
  • Coordinates are given for the black points at $(p^j, i_j)$ where $[i_0,...,i_v]$ are the indices of separability. These points include the vertices of the ramification polygon. In some cases there are additional points above the polygon.
  • The edges are labeled with the corresponding coefficients of the residual polynomials; note that at the vertices the leading term of each residual polynomial is equal to the constant term of the next.
Authors:
Knowl status:
  • Review status: beta
  • Last edited by David Roe on 2023-03-27 15:12:10
Referred to by:
History: (expand/hide all)