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# CharacteristicClasses : Table of Contents

- CharacteristicClasses -- Chern classes and other characteristic classes of subschemes of certain smooth toric varieties, including products of projective spaces
- bertiniCheck -- Checks whether the numerical version of the algorithms using Bertini works
- CheckSmooth
- CheckToricVarietyValid -- Checks if the input normal toric variety X is a valid choice for an ambient space when computing characteristic classes of subschemes V of X
- Chern -- The Chern class
- ChowRing -- Computes the Chow ring of a product of projective spaces m projective spaces given the coordinate ring
- ClassInChowRing -- Gives the class of a hypersurface in the associated Chow ring of a product of projective spaces
- ClassInToricChowRing -- Gives the class of a hypersurface in the associated Chow ring of a toric variety
- CompMethod
- configuring Bertini
- CSM -- The Chern-Schwartz-MacPherson class
- Euler -- The Euler Characteristic
- EulerAffine -- The Euler Characteristic of an affine variety.
- IndsOfSmooth
- InputIsSmooth
- isMultiHomogeneous -- Checks if an ideal is homogeneous with respect to the grading on its ring (i.e. multi-homogeneous in the multi-graded case)
- Method
- MultiProjCoordRing -- A quick way to build the coordinate ring of a product of projective spaces
- Output
- probabilistic algorithm
- Segre -- The Segre class of a subscheme
- ToricChowRing -- Computes the Chow ring of a normal toric variety