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arXiv · 1610.05930

On uniform flag bundles on Fano manifolds

Roberto Muñoz·Gianluca Occhetta·Luis E. Solá Conde
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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.

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Roberto Muñoz, Gianluca Occhetta, Luis E. Solá Conde. 2016-10-19. On uniform flag bundles on Fano manifolds. https://doi.org/10.1215/21562261-2021-0016

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