December 2021 On uniform flag bundles on Fano manifolds
Roberto Muñoz, Gianluca Occhetta, Luis E. Solá Conde
Author Affiliations +
Kyoto J. Math. 61(4): 843-872 (December 2021). DOI: 10.1215/21562261-2021-0016

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. "On uniform flag bundles on Fano manifolds." Kyoto J. Math. 61 (4) 843 - 872, December 2021. https://doi.org/10.1215/21562261-2021-0016

Information

Received: 2 October 2018; Revised: 28 January 2019; Accepted: 17 May 2019; Published: December 2021
First available in Project Euclid: 18 October 2021

MathSciNet: MR4415398
zbMATH: 1479.14051
Digital Object Identifier: 10.1215/21562261-2021-0016

Subjects:
Primary: 14J45
Secondary: 14E30 , 14M15 , 14M17

Keywords: diagonalizability , Fano varieties , uniform flag bundles

Rights: Copyright © 2021 by Kyoto University

Vol.61 • No. 4 • December 2021
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