kGonalNodalCurves : Table of Contents

• kGonalNodalCurves -- consrtuction of rational k-gonal g-nodal canonical curves
• canonicalMultipliers -- compute the canonical multipliers of a rational curves with nodes
• criticalBettiNumber -- computes the critical Betti number
• criticalBettiNumberWithoutArtinanReduction -- computes the critical Betti number
• criticalKoszulMap -- computes the critical Koszul map
• getBackMatrix -- reconstructs a matrix from a list of entries and the position of those
• getCoordinates -- computes vanishing loci of a linear polynomial in two variables
• getFactors -- computes linear and quadratic factors of a polynomial
• getFieldAndRing -- computes a prime number p>=n, the field kk=ZZ/p and the coordinate Ring S of PP^1(kk)
• getSections -- computes a matrix defining the canonical embedding
• idealOfNodalCurve -- computes the ideal I of a k-gonal g-nodal canonical curve.
• idealOfNodalCurveByPoints -- computes ideal of a canonical nodal curve constructed from 2g points
• lineBundleFromPointsAndMultipliers -- computes basis of a line bundle from the 2g points P_i, Q_i and the multipliers
• linFactorsToQuadric -- computes quadrics needed to construct the 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
• pickGoodPoints -- computes g pairs of points and gluing data between them
• scrollType -- determines the type of the scroll
• sectionsFromPoints -- computes matrix defining the canonical embedding from the 2g points
• sparseKoszulMatrix -- computes list specifying the size of the critical Koszul map, the nonzero entries and the position of those