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compatibleBases -- computes compatible bases for a toric vector bundle



Given a toric vector bundle in Klyachko's description, compatibleBases computes for each maximal cone of the underlying toric variety a compatible basis of the filtrations, see [RJS, Section 3] for details.
compatibleBases calls internally the method groundSet.

The compatible bases serve as input for the computation of the toric Chern character by toricChernCharacter.


This method works for any toric reflexive sheaf (see isLocallyWeil for an example where the sheaf is not locally free) on a toric variety, whose fan is covered by cones of maximal dimension.

See also

Ways to use compatibleBases :

For the programmer

The object compatibleBases is a method function with options.