As a natural extension of the theory of uniform vector bundles on Fano manifolds, we consider uniform principal bundles, and study them by means of the associated flag bundles, as their natural projective geometric realizations. In this paper, we develop the necessary background and prove some theorems that are flag bundle counterparts of some of the central results in the theory of uniform vector bundles.
On uniform flag bundles on Fano manifolds / Munoz, R.; Occhetta, G.; Sola Conde Luis, E.. - In: KYOTO JOURNAL OF MATHEMATICS. - ISSN 2156-2261. - 61:4(2021), pp. 843-872. [10.1215/21562261-2021-0016]
On uniform flag bundles on Fano manifolds
Munoz R.;Occhetta G.;Sola Conde Luis E.
2021-01-01
Abstract
As a natural extension of the theory of uniform vector bundles on Fano manifolds, we consider uniform principal bundles, and study them by means of the associated flag bundles, as their natural projective geometric realizations. In this paper, we develop the necessary background and prove some theorems that are flag bundle counterparts of some of the central results in the theory of uniform vector bundles.File in questo prodotto:
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