Vector bundles trivialized by proper morphisms and the fundamental group scheme

DOI10.1017/S1474748010000071zbMath1214.14037arXiv0912.3572OpenAlexW4243496607MaRDI QIDQ2999439

João Pedro P. dos Santos, Indranil Biswas

Publication date: 13 May 2011

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.3572

zbMATH Keywords

essentially finite vector bundlesTannakian categoriestrivializationNori category

Mathematics Subject Classification ID

Related Items (10)

Extension of torsors and prime to \(p\) fundamental group scheme ⋮ Essentially finite vector bundles on normal pseudo-proper algebraic stacks ⋮ Essentially finite \(G\)-torsors ⋮ Vector bundles over normal varieties trivialized by finite morphisms ⋮ Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors ⋮ 𝐹-divided sheaves trivialized by dominant maps are essentially finite ⋮ On base change of the fundamental group scheme ⋮ On the number of Frobenius-trivial vector bundles on specific curves ⋮ Essentially finite vector bundles on varieties with trivial tangent bundle ⋮ Vector Bundles Trivialized by Proper Morphisms and the Fundamental Group Scheme, II

Cites Work

• Vektorbündel auf Kurven und Darstellungen der algebraischen Fundamentalgruppe
• Semistable sheaves in positive characteristic
• Monodromy group for a strongly semistable principal bundle over a curve

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