Vector bundles over normal varieties trivialized by finite morphisms

DOI10.1007/s00013-011-0327-1zbMath1236.14041arXiv1009.5234OpenAlexW2085593858MaRDI QIDQ658316

Vikram B. Mehta, Marco Antei

Publication date: 12 January 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5234

zbMATH Keywords

principal bundlesnormal projective varietyessentially finite vector bundlesfinite morphisms

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Group actions on varieties or schemes (quotients) (14L30) Group schemes (14L15)

Related Items (5)

Essentially finite vector bundles on normal pseudo-proper algebraic stacks ⋮ Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors ⋮ 𝐹-divided sheaves trivialized by dominant maps are essentially finite ⋮ Recent results on vector bundles, principal bundles and related topics ⋮ Vector Bundles Trivialized by Proper Morphisms and the Fundamental Group Scheme, II

Cites Work

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• Groupe de Picard des variétés de modules de fibrés semi-stable sur les courbes algébriques. (Picard groups of moduli varieties of semi- stable bundles on algebraic curves)
• The fundamental group-scheme
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• Vector bundles trivialized by proper morphisms and the fundamental group scheme
• On the spectrum of asymptotic slopes
• An analogue of the Narasimhan-Seshadri theorem in higher dimensions and some applications

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