kGonalNodalCurves : Index
- canonicalMultipliers -- compute the canonical multipliers of a rational curves with nodes
- canonicalMultipliers(Matrix,Matrix) -- compute the canonical multipliers of a rational curves with nodes
- criticalBettiNumber -- computes the critical Betti number
- criticalBettiNumber(Ideal) -- computes the critical Betti number
- criticalBettiNumber(ZZ,ZZ,ZZ) -- computes the critical Betti number
- criticalBettiNumberWithoutArtinanReduction -- computes the critical Betti number
- criticalBettiNumberWithoutArtinanReduction(Ideal) -- computes the critical Betti number
- criticalBettiNumberWithoutArtinanReduction(ZZ,ZZ,ZZ) -- computes the critical Betti number
- criticalKoszulMap -- computes the critical Koszul map
- criticalKoszulMap(Ideal) -- computes the critical Koszul map
- criticalKoszulMap(ZZ,ZZ,ZZ) -- computes the critical Koszul map
- getBackMatrix -- reconstructs a matrix from a list of entries and the position of those
- getBackMatrix(ZZ,ZZ,ZZ,List) -- reconstructs a matrix from a list of entries and the position of those
- getCoordinates -- computes vanishing loci of a linear polynomial in two variables
- getCoordinates(RingElement) -- computes vanishing loci of a linear polynomial in two variables
- getFactors -- computes linear and quadratic factors of a polynomial
- getFactors(RingElement) -- 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)
- getFieldAndRing(ZZ) -- 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
- getSections(ZZ,ZZ,ZZ) -- computes a matrix defining the canonical embedding
- idealOfNodalCurve -- computes the ideal I of a k-gonal g-nodal canonical curve.
- idealOfNodalCurve(ZZ,ZZ,ZZ) -- computes the ideal I of a k-gonal g-nodal canonical curve.
- idealOfNodalCurveByPoints -- computes ideal of a canonical nodal curve constructed from 2g points
- idealOfNodalCurveByPoints(Matrix,Matrix,ZZ) -- computes ideal of a canonical nodal curve constructed from 2g points
- kGonalNodalCurves -- consrtuction of rational k-gonal g-nodal canonical curves
- lineBundleFromPointsAndMultipliers -- computes basis of a line bundle from the 2g points P_i, Q_i and the multipliers
- lineBundleFromPointsAndMultipliers(List,Matrix,Matrix,ZZ) -- 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
- linFactorsToQuadric(List,ZZ) -- 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
- listOfFactors(ZZ,ZZ,ZZ) -- 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
- pickGoodPoints(ZZ,ZZ,ZZ) -- computes g pairs of points and gluing data between them
- scrollType -- determines the type of the scroll
- scrollType(ZZ,ZZ,ZZ) -- determines the type of the scroll
- sectionsFromPoints -- computes matrix defining the canonical embedding from the 2g points
- sectionsFromPoints(Matrix,Matrix) -- computes matrix defining the canonical embedding from the 2g points
- sectionsFromPoints(Sequence) -- 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
- sparseKoszulMatrix(Ideal) -- computes list specifying the size of the critical Koszul map, the nonzero entries and the position of those