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GlicciPointsInP3 :: checkDimensionsHCG

checkDimensionsHCG -- check that the dimension formula gives the dimension of the tangentspace at HC_G for a random choice of G

Synopsis

Description

For each h-vector hV in L for a Gorenstein collection as in of Proposition 4.1, we randomly choose a point J in HCh and check whether this point has tangent dimension as predicted by the dimension formula of Proposition 4.2 of Twenty Points in P^3.
i1 : S=ZZ/10009[x_0..x_3];(L1,L2)=listhVectors 1;
i3 : time checkDimensionsHCG(L1|L2,S)
     -- used 0.0549515 seconds

o3 = Tally{true => 7}

o3 : Tally

Ways to use checkDimensionsHCG :