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populateCechComplexCC(Ideal,List) -- Cech complex skeleton for the computation of the characteristic cycles of local cohomology modules

Synopsis

Description

For the ideal I=(f1,...,fk) the routine computes the characteristic cycles of the localized modules Mfi1,...,fik and places them in the corresponding places in the Cech complex.
W = QQ[x_1..x_6, a_1..a_6];
I = minors(2, matrix{{x_1, x_2, x_3}, {x_4, x_5, x_6}});
cc = {ideal W => 1};
B = populateCechComplexCC(I,cc)
scan(keys B, k->print (k=>B#k)) -- CCs of Cech complex BEFORE pruning

Caveat

The module has to be a regular holonomic complex-analytic module; while the holomicity can be checked by isHolonomic there is no algorithm to check the regularity.

See also