Splitting conjectures for uniform flag bundles

Abstract

We present here some conjectures on the diagonalizability of uniform principal bundles on rational homogeneous spaces, that are natural extensions of classical theorems on uniform vector bundles on the projective space, and study the validity of these conjectures in the case of classical groups.

20 pages, 8 tables

References in corpus (1)

• On uniform flag bundles on Fano manifolds

Cited by in corpus (3)

• Maximal disjoint Schubert cycles in rational homogeneous varieties
• Rational homogeneous spaces as geometric realizations of birational transformations
• Nestings of rational homogeneous varieties