Toric bundles and problems of linear algebra (Q920174)

The author gives a description of basic invariants of a toric bundle on a toric variety (such as cohomology groups and Chern classes) in terms of a multifiltered linear space associated to the bundle. He introduces a classifying object for toric bundles (a modification of the Tits building for \(\mathrm{GL}(n))\) and proves a structure theorem for a certain class of toric bundles on \(\mathbb{P}^n\).