sm1.slope
sm1.slope
は
微分方程式系 ii の V filtration v_filtration
で指定する超平面に沿っての (geomeric) slope を計算する.
Algorithm: "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" をみよ. Slope の本来の定義では, 符号が負となるが, このプログラムは, Slope の絶対値を戻す.
[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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