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# MultigradedImplicitization : Index

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

- CoefficientRing -- ground field over which to sample points from during interpolation
- componentsOfKernel -- Finds all minimal generators up to a given total degree in the kernel of a ring map
- componentsOfKernel(...,CoefficientRing=>...) -- ground field over which to sample points from during interpolation
- componentsOfKernel(...,Grading=>...) -- a matrix which gives a homogeneous multigrading on a polynomial map
- componentsOfKernel(...,UseInterpolation=>...) -- use interpolation to find polynomials in the kernel of a map
- componentsOfKernel(...,UseMatroid=>...) -- use the algebraic matroid of a polynomial map represented by the jacobian to skip computation of irrelevant components of the kernel
- componentsOfKernel(...,Verbose=>...) -- display detailed output during computation
- componentsOfKernel(Number,RingMap) -- Finds all minimal generators up to a given total degree in the kernel of a ring map
- computeComponent -- Finds all minimal generators of a given multidegree in the kernel of a ring map
- computeComponent(...,PreviousGens=>...) -- a list previously computed generators of the kernel of a map
- computeComponent(List,Ring,RingMap) -- Finds all minimal generators of a given multidegree in the kernel of a ring map
- computeComponent(List,Ring,RingMap,HashTable) -- Finds all minimal generators of a given multidegree in the kernel of a ring map
- computeComponent(List,Ring,RingMap,Matrix) -- Finds all minimal generators of a given multidegree in the kernel of a ring map
- Grading -- a matrix which gives a homogeneous multigrading on a polynomial map
- interpolateComponent -- Finds all minimal generators of a given multidegree in the kernel of a ring map by sampling points in the corresponding variety and then interpolating.
- interpolateComponent(...,PreviousGens=>...) -- a list previously computed generators of the kernel of a map
- interpolateComponent(List,Matrix) -- Finds all minimal generators of a given multidegree in the kernel of a ring map by sampling points in the corresponding variety and then interpolating.
- interpolateComponent(List,Ring,List,HashTable) -- Finds all minimal generators of a given multidegree in the kernel of a ring map by sampling points in the corresponding variety and then interpolating.
- interpolateComponent(List,Ring,RingMap) -- Finds all minimal generators of a given multidegree in the kernel of a ring map by sampling points in the corresponding variety and then interpolating.
- maxGrading -- computes the maximal $\mathbb{Z}^k$ grading such that $\ker(F)$ is homogeneous
- maxGrading(...,ReturnTargetGrading=>...) -- return the grading on the target ring of a polynomial map which induces a grading on the kernel
- maxGrading(RingMap) -- computes the maximal $\mathbb{Z}^k$ grading such that $\ker(F)$ is homogeneous
- MultigradedImplicitization -- Package for levaraging multigradings to solve implicitization problems
- PreviousGens -- a list previously computed generators of the kernel of a map
- ReturnTargetGrading -- return the grading on the target ring of a polynomial map which induces a grading on the kernel
- trimBasisInDegree -- Finds a basis for the homogeneous component of a graded ring but removes basis elements which correspond to previously computed generators.
- trimBasisInDegree(List,Ring,HashTable) -- Finds a basis for the homogeneous component of a graded ring but removes basis elements which correspond to previously computed generators.
- trimBasisInDegree(List,Ring,List,HashTable) -- Finds a basis for the homogeneous component of a graded ring but removes basis elements which correspond to previously computed generators.
- UseInterpolation -- use interpolation to find polynomials in the kernel of a map
- UseMatroid -- use the algebraic matroid of a polynomial map represented by the jacobian to skip computation of irrelevant components of the kernel