A smooth counterexample to Nori’s conjecture on the fundamental group scheme

DOI10.1090/S0002-9939-07-08805-3zbMath1115.14026arXivmath/0607227WikidataQ123242356 ScholiaQ123242356MaRDI QIDQ5291912

Christian Pauly

Publication date: 19 June 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607227

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Coverings of curves, fundamental group (14H30) Vector bundles on curves and their moduli (14H60)

Related Items

Non-properness of the functor of \(F\)-trivial bundles ⋮ On the S-fundamental group scheme ⋮ On base change of the fundamental group scheme ⋮ On the number of Frobenius-trivial vector bundles on specific curves ⋮ On the \(F\)-fundamental group scheme ⋮ The Nori fundamental gerbe of a fibered category ⋮ Vector Bundles Trivialized by Proper Morphisms and the Fundamental Group Scheme, II

Cites Work

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• The Frobenius map, rank 2 vector bundles and Kummer's quartic surface in characteristic 2 and 3
• The fundamental group-scheme
• On the fundamental group scheme
• On Frobenius-destabilized rank-2 vector bundles over curves
• The action of the Frobenius map on rank 2 vector bundles in characteristic 2