On the number of Frobenius-trivial vector bundles on specific curves

DOI10.1007/s00013-012-0424-9zbMath1261.14019OpenAlexW2087779510MaRDI QIDQ1759612

João Pedro P. dos Santos

Publication date: 21 November 2012

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

Full work available at URL: https://doi.org/10.1007/s00013-012-0424-9

zbMATH Keywords

positive characteristiclocal fundamental group schemecomputations in algebraic geometryFrobenius trivial vector bundlesLetzter's algorithm

Mathematics Subject Classification ID

Computational aspects of algebraic curves (14Q05) Vector bundles on curves and their moduli (14H60) Computational aspects of associative rings (general theory) (16Z05) Representation theory of associative rings and algebras (16G99) Categorical algebra (18E99)

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Some remarks on the local fundamental group scheme
• Detecting infinitely many semisimple representations in a fixed finite dimension.
• The fundamental group-scheme
• On the fundamental group scheme
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• Vector bundles trivialized by proper morphisms and the fundamental group scheme
• Algebraic Function Fields and Codes
• A smooth counterexample to Nori’s conjecture on the fundamental group scheme
• Frobenius-unstable bundles and $p$-curvature

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