[f v] deRham c string f; string v; f is a polynomial given by a string. This function can be used by loading the experimental package cohom.sm1. The dimensions of the deRham cohomology groups H^i(C^n - V(f),C) i=0, i=1, .. .., n are returned in c. For example, if c=[1 4 6 4], then it means that dim H^0(C^3-V(f),C) = 1, dim H^1(C^3-V(f),C) = 4, and so on. For the algorithm, see "An algorithm for de Rham cohomology groups of the complement of an affine variety via D-module computation", Journal of pure and applied algebra, 139 (1999), 201--233. math.AG/9801114 Example 0: [(x (x-1) (x-2)) (x)] deRham Example 1: [(x y (x+y-1)(x-2)) (x,y)] deRham Example 2: [(x^3-y^2) (x,y)] deRham Example 3: [(x^3-y^2 z^2) (x,y,z)] deRham Example 4: [(x y z (x+y+z-1)) (x,y,z)] deRham

Nobuki Takayama 2020-11-24