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


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


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 assocated Chow ring of a toric variety



CSM  The ChernSchwartzMacPherson class

Euler  The Euler Characteristic



isMultiHomogeneous  Checks if an ideal is homogeneous with respect to the grading on its ring (i.e. multihomogeneous in the multigraded case)


MultiProjCoordRing  A quick way to build the coordinate ring of a product of projective spaces



Segre  The Segre class of a subscheme

ToricChowRing  Computes the Chow ring Ch=R/(SR+LR) of a normal toric variety with coordinate ring R, here SR is the StanleyReisner ideal of the corresponding fan and LR is the ideal of linear relations amount the rays