CharacteristicClasses : Table of Contents

• CharacteristicClasses -- CSM classes, Segre classes and the Euler characteristic
• 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