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PencilsOfQuadrics :: matFactu2

matFactu2 -- part of a RandomNicePencil

Synopsis

Description

Mu1, Mu2 are consecutive high syzygy matrices in the minimal periodic resolution of the isotropic subspace S/(ideal u) as a module over S/(ideal qq). These are used to construct a Morita bundle between the even Clifford algebra of qq and the hyperelliptic curve branched over the degeneracy locus of the pencil.

i1 : kk=ZZ/101;
i2 : g=1;
i3 : rNP=randNicePencil(kk,g);
i4 : S=rNP.qqRing;
i5 : qq=rNP.quadraticForm;
i6 : Mu1=rNP.matFactu1;

             4       4
o6 : Matrix S  <--- S
i7 : Mu2=rNP.matFactu2;

             4       4
o7 : Matrix S  <--- S
i8 : Mu1*Mu2 - qq*id_(S^(2^(g+1)))

o8 = 0

             4       4
o8 : Matrix S  <--- S
i9 : Mu1*Mu2 - Mu2*Mu1

o9 = 0

             4       4
o9 : Matrix S  <--- S

See also

For the programmer

The object matFactu2 is a symbol.