Direct image and pullback of Parabolic vector bundles

Fuente: arXiv
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Autores principales: Biswas, Indranil, Gangopadhyay, Chandranandan
Formato: Preprint
Publicado: 2026
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author Biswas, Indranil
Gangopadhyay, Chandranandan
author_facet Biswas, Indranil
Gangopadhyay, Chandranandan
contents Niels Borne established a natural correspondence between the parabolic vector bundles on curves and vector bundles on root stacks. The notions of direct image of parabolic vector bundles and pullback of parabolic vector bundles were studied in \cite{Alfaya_Biswas}. We show that these two notions correspond to the notions direct image of vector bundles on root stacks and pullback of vector bundles on root stacks respectively. Some applications of this correspondence are given.
format Preprint
id arxiv_https___arxiv_org_abs_2604_05411
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Direct image and pullback of Parabolic vector bundles
Biswas, Indranil
Gangopadhyay, Chandranandan
Algebraic Geometry
Niels Borne established a natural correspondence between the parabolic vector bundles on curves and vector bundles on root stacks. The notions of direct image of parabolic vector bundles and pullback of parabolic vector bundles were studied in \cite{Alfaya_Biswas}. We show that these two notions correspond to the notions direct image of vector bundles on root stacks and pullback of vector bundles on root stacks respectively. Some applications of this correspondence are given.
title Direct image and pullback of Parabolic vector bundles
topic Algebraic Geometry
url https://arxiv.org/abs/2604.05411