sm1_slope
sm1_slope
returns the (geometric) slopes
of the system of differential equations ii
along the hyperplane specified by
the V filtration v_filtration.
Algorithm: see "A.Assi, F.J.Castro-Jimenez and J.M.Granger, How to calculate the slopes of a D-module, Compositio Math, 104, 1-17, 1996" Note that the signs of the slopes are negative, but the absolute values of the slopes are returned.
[284] A= sm1_gkz([ [[1,2,3]], [-3] ]); [285] sm1_slope(A[0],A[1],[0,0,0,1,1,1],[0,0,-1,0,0,1]); [286] A2 = sm1_gkz([ [[1,1,1,0],[2,-3,1,-3]], [1,0]]); (* This is an interesting example given by Laura Matusevich, June 9, 2001 *) [287] sm1_slope(A2[0],A2[1],[0,0,0,0,1,1,1,1],[0,0,0,-1,0,0,0,1]);
sm_gb
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