Fibrés vectoriels homogènes sur les variétés abéliennes qui sont des tores analytiques (rigides)

Marius Van der Put; M. Reversat

doi:10.1007/BF01168148

Fibrés vectoriels homogènes sur les variétés abéliennes qui sont des tores analytiques (rigides)

Marius Van der Put^*
, M. Reversat

^*Corresponding author voor dit werk

Onderzoeksoutput › Academic › peer review

2 Citaten (Scopus)

139 Downloads (Pure)

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We give a caracterization of homogeneous vector bundles on an abelian variety (over a complete non archimedean valued field) which is an analytic torus, as the jacobians of the Mumford-curves for instance. Homogeneous vector bundles are stable under the action induced by the low on A. We prove that they are coming from the representations of the fundamental group of A, more precisely, that they are exactly those vector bundles which are constructed with the φ-bounded representations.

Vertaalde titel van de bijdrage	Homogenous vector bundles on abelian varieties which are rigid analytic tori
Originele taal-2	French
Pagina's (van-tot)	71-88
Aantal pagina's	18
Tijdschrift	Manuscripta mathematica
Volume	60
Nummer van het tijdschrift	1
DOI's	https://doi.org/10.1007/BF01168148
Status	Published - 1988

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Fibrés vectoriels homogènes sur les variétés abéliennes qui sont des tores analytiques(rigides)
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abstract = "We give a caracterization of homogeneous vector bundles on an abelian variety (over a complete non archimedean valued field) which is an analytic torus, as the jacobians of the Mumford-curves for instance. Homogeneous vector bundles are stable under the action induced by the low on A. We prove that they are coming from the representations of the fundamental group of A, more precisely, that they are exactly those vector bundles which are constructed with the φ-bounded representations.",

author = "\{Van der Put\}, Marius and M. Reversat",

note = "Relation: http://www.rug.nl/informatica/organisatie/overorganisatie/iwi Rights: University of Groningen. Research Institute for Mathematics and Computing Science (IWI)",

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AU - Reversat, M.

N1 - Relation: http://www.rug.nl/informatica/organisatie/overorganisatie/iwi Rights: University of Groningen. Research Institute for Mathematics and Computing Science (IWI)

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N2 - We give a caracterization of homogeneous vector bundles on an abelian variety (over a complete non archimedean valued field) which is an analytic torus, as the jacobians of the Mumford-curves for instance. Homogeneous vector bundles are stable under the action induced by the low on A. We prove that they are coming from the representations of the fundamental group of A, more precisely, that they are exactly those vector bundles which are constructed with the φ-bounded representations.

AB - We give a caracterization of homogeneous vector bundles on an abelian variety (over a complete non archimedean valued field) which is an analytic torus, as the jacobians of the Mumford-curves for instance. Homogeneous vector bundles are stable under the action induced by the low on A. We prove that they are coming from the representations of the fundamental group of A, more precisely, that they are exactly those vector bundles which are constructed with the φ-bounded representations.

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DO - 10.1007/BF01168148

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Fibrés vectoriels homogènes sur les variétés abéliennes qui sont des tores analytiques (rigides)

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