pickGoodPoints -- computes g pairs of points and gluing data between them

Synopsis

• Usage:

  pickGoodPoints(k,g,n)

• Inputs:

  • k, an integer, the degree of the line bundle
  • g, a matrix, the genus of the curve
  • n, an integer, defining the characteristic of the ground field (see getFieldAndRing for details)
• Outputs:

  • P, a matrix, coordinate matrix defining g points P_i
  • Q, a matrix, coordinate matrix defining g points Q_i
  • multL, a list, containing the normalized multipliers specifying the line bundle
  • f, a matrix, containing the two basis sections of the line bundle

Description

See also

• listOfFactors -- finds a map f: S^2(-k)->S such that det(f|pt) factors factors for sufficiently many points pt in PP^1
• sectionsFromPoints -- computes matrix defining the canonical embedding from the 2g points
• idealOfNodalCurveByPoints -- computes ideal of a canonical nodal curve constructed from 2g points