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Triplets :: chiPol(RingElement,ZZ,List,List)

chiPol(RingElement,ZZ,List,List) -- Hilbert polynomial of cohomology sheaves

Synopsis

Description

Computes the Hilbert polynomial of the -p'th cohomology sheaf of the complex of coherent sheaves associated to a homology triplet
i1 : QQ[d]

o1 = QQ[d]

o1 : PolynomialRing
i2 : T = triplet({1,2,3}, {1,3}, {0,2,3})  

o2 = {{1, 2, 3}, {1, 3}, {0, 2, 3}}

o2 : Triplet
i3 : chiPol(d,0,{T#0,T#1},hilbCoeff(T))

o3 = d

o3 : QQ[d]
i4 : chiPol(d,1,{T#0,T#1},hilbCoeff(T))

     1 3   1 2   1
o4 = -d  + -d  + -d
     6     2     3

o4 : QQ[d]

See also