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kGonalNodalCurves :: linFactorsToQuadric

linFactorsToQuadric -- computes quadrics needed to construct the matrix defining the canonical embedding

Synopsis

Description

Computes a quadric for each pair of linear factors obtained by the function listOfFactors. The quadric is defined as follows: We commpute the two points Pi and Qi as the vanishing loci of the linear forms and define qi :=det(Pi | (x0,x1)t) * det(Qi | (x0,x1)t).

See also

  • getSections -- computes a matrix defining the canonical embedding
  • listOfFactors -- finds a map f: S^2(-k)->S such that det(f|pt) factors factors for sufficiently many points pt in PP^1

Ways to use linFactorsToQuadric :

  • linFactorsToQuadric(List,ZZ)